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Finding the Third Proportional to 177,788,682 and 267,156,393

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Solution

The third proportional to 177,788,682 and 267,156,393 is: 401,445,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,682 : 267,156,393 = 267,156,393 : x
  2. Step 2: Convert to fraction form
    177,788,682/267,156,393 = 267,156,393/x
  3. Step 3: Cross multiply
    177,788,682x = 267,156,393 × 267,156,393
  4. Step 4: Simplify right side
    177,788,682x = 71,372,538,320,770,448
  5. Step 5: Solve for x
    x = 71,372,538,320,770,448/177,788,682
  6. Step 6: Final answer
    x = 401,445,904.87

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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.