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Finding the Third Proportional to 71,782,073.44 and 156,557,113.88

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Solution

The third proportional to 71,782,073.44 and 156,557,113.88 is: 341,451,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782,073.44 : 156,557,113.88 = 156,557,113.88 : x
  2. Step 2: Convert to fraction form
    71,782,073.44/156,557,113.88 = 156,557,113.88/x
  3. Step 3: Cross multiply
    71,782,073.44x = 156,557,113.88 × 156,557,113.88
  4. Step 4: Simplify right side
    71,782,073.44x = 24,510,129,904,869,716
  5. Step 5: Solve for x
    x = 24,510,129,904,869,716/71,782,073.44
  6. Step 6: Final answer
    x = 341,451,963.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.