Question

which proportion could you use to convert 200 centimeters to meters?
$\frac{100 \text{ centimeters}}{1 \text{ meter}} = \frac{200 \text{ centimeters}}{? \text{ meters}}$
$\frac{10 \text{ centimeters}}{1 \text{ meter}} = \frac{200 \text{ centimeters}}{? \text{ meters}}$
convert.
200 centimeters = $square$ meters
submit

Explanation:

Step1: Identify valid conversion ratio

We know $1 \text{ meter} = 100 \text{ centimeters}$, so the correct proportion uses this ratio:
$$\frac{100 \text{ centimeters}}{1 \text{ meter}} = \frac{200 \text{ centimeters}}{? \text{ meters}}$$

Step2: Solve for unknown value

Cross-multiply to isolate the unknown:
$$? \text{ meters} = \frac{200 \text{ centimeters} \times 1 \text{ meter}}{100 \text{ centimeters}}$$

Step3: Calculate the result

Simplify the expression:
$$? \text{ meters} = 2$$

Answer:

Valid proportion: $\boldsymbol{\frac{100 \text{ centimeters}}{1 \text{ meter}} = \frac{200 \text{ centimeters}}{? \text{ meters}}}$
200 centimeters = $\boldsymbol{2}$ meters