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The question is asking to complete a unit conversion equation. You are given:

\[
23 \, \frac{\mu g}{dL} \times [ \text{conversion factor} ] = ? \, \frac{g}{mL}
\]

To complete this conversion, we need to convert from **micrograms per deciliter** (μg/dL) to **grams per milliliter** (g/mL). Let's break this down:

1. **Convert micrograms to grams**: 
   \[
   1 \, g = 1,000,000 \, \mu g
   \]

2. **Convert deciliters to milliliters**: 
   \[
   1 \, dL = 100 \, mL
   \]

The conversion factor is the product of these two ratios:

\[
\left( \frac{1 \, g}{1,000,000 \, \mu g} \right) \times \left( \frac{1 \, dL}{100 \, mL} \right) = \frac{1 \, g}{100,000,000 \, \mu g} 
\]

Now you can multiply:

\[
23 \, \frac{\mu g}{dL} \times \frac{1 \, g}{1,000,000 \, \mu g} \times \frac{1 \, dL}{100 \, mL} = \frac{23 \, g}{100,000,000 \, mL}
\]

Thus, the missing conversion factor is:

\[
\frac{1 \, g}{1,000,000 \, \mu g} \times \frac{1 \, dL}{100 \, mL} = \frac{1}{100,000,000}
\]

Would you like to see more details or have any questions? Here are a few related questions for practice:

1. How would you convert μg/mL to g/L?
2. What is the relation between μg and mg?
3. How can you convert mg/dL to g/L?
4. What would be the conversion factor from kg/dL to g/mL?
5. Can you reverse this process to convert g/mL back to μg/dL?

**Tip**: Always remember to use the appropriate unit conversion factor based on the metric system prefixes.

A student sets up the following equation to convert 23 μg/dL to g/mL. What is the missing conversion factor?

Learn how to convert 23 μg/dL to g/mL using a step-by-step unit conversion process. This problem covers key concepts such as converting micrograms to grams and deciliters to milliliters. Suitable for high school students in Grades 10-12.

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