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Finding the Third Proportional to 177,789,060 and 267,156,931

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Solution

The third proportional to 177,789,060 and 267,156,931 is: 401,446,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789,060 : 267,156,931 = 267,156,931 : x
  2. Step 2: Convert to fraction form
    177,789,060/267,156,931 = 267,156,931/x
  3. Step 3: Cross multiply
    177,789,060x = 267,156,931 × 267,156,931
  4. Step 4: Simplify right side
    177,789,060x = 71,372,825,781,338,760
  5. Step 5: Solve for x
    x = 71,372,825,781,338,760/177,789,060
  6. Step 6: Final answer
    x = 401,446,668.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.