Finding the Third Proportional to 202,164,153.75 and 288,897,252.75
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Solution
The third proportional to 202,164,153.75 and 288,897,252.75 is: 412,840,857.78
Step by Step Solution
- Step 1: Write the proportion equation
202,164,153.75 : 288,897,252.75 = 288,897,252.75 : x - Step 2: Convert to fraction form
202,164,153.75/288,897,252.75 = 288,897,252.75/x - Step 3: Cross multiply
202,164,153.75x = 288,897,252.75 × 288,897,252.75 - Step 4: Simplify right side
202,164,153.75x = 83,461,622,646,497,376 - Step 5: Solve for x
x = 83,461,622,646,497,376/202,164,153.75 - Step 6: Final answer
x = 412,840,857.78
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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.