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Finding the Third Proportional to 177,788,876 and 267,156,682

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Solution

The third proportional to 177,788,876 and 267,156,682 is: 401,446,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,876 : 267,156,682 = 267,156,682 : x
  2. Step 2: Convert to fraction form
    177,788,876/267,156,682 = 267,156,682/x
  3. Step 3: Cross multiply
    177,788,876x = 267,156,682 × 267,156,682
  4. Step 4: Simplify right side
    177,788,876x = 71,372,692,737,249,120
  5. Step 5: Solve for x
    x = 71,372,692,737,249,120/177,788,876
  6. Step 6: Final answer
    x = 401,446,335.36

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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.