Finding the Third Proportional to 202,164,211 and 288,897,341
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Solution
The third proportional to 202,164,211 and 288,897,341 is: 412,840,993.09
Step by Step Solution
- Step 1: Write the proportion equation
202,164,211 : 288,897,341 = 288,897,341 : x - Step 2: Convert to fraction form
202,164,211/288,897,341 = 288,897,341/x - Step 3: Cross multiply
202,164,211x = 288,897,341 × 288,897,341 - Step 4: Simplify right side
202,164,211x = 83,461,673,636,870,288 - Step 5: Solve for x
x = 83,461,673,636,870,288/202,164,211 - Step 6: Final answer
x = 412,840,993.09
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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.