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Finding the Third Proportional to 157,553,874 and 253,145,227

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Solution

The third proportional to 157,553,874 and 253,145,227 is: 406,733,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,553,874 : 253,145,227 = 253,145,227 : x
  2. Step 2: Convert to fraction form
    157,553,874/253,145,227 = 253,145,227/x
  3. Step 3: Cross multiply
    157,553,874x = 253,145,227 × 253,145,227
  4. Step 4: Simplify right side
    157,553,874x = 64,082,505,952,881,528
  5. Step 5: Solve for x
    x = 64,082,505,952,881,528/157,553,874
  6. Step 6: Final answer
    x = 406,733,927.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.