Finding the Third Proportional to 202,164,203.75 and 288,897,331
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Solution
The third proportional to 202,164,203.75 and 288,897,331 is: 412,840,979.32
Step by Step Solution
- Step 1: Write the proportion equation
202,164,203.75 : 288,897,331 = 288,897,331 : x - Step 2: Convert to fraction form
202,164,203.75/288,897,331 = 288,897,331/x - Step 3: Cross multiply
202,164,203.75x = 288,897,331 × 288,897,331 - Step 4: Simplify right side
202,164,203.75x = 83,461,667,858,923,568 - Step 5: Solve for x
x = 83,461,667,858,923,568/202,164,203.75 - Step 6: Final answer
x = 412,840,979.32
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.