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Finding the Third Proportional to 71,872,787.74 and 156,338,431.59

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Solution

The third proportional to 71,872,787.74 and 156,338,431.59 is: 340,068,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872,787.74 : 156,338,431.59 = 156,338,431.59 : x
  2. Step 2: Convert to fraction form
    71,872,787.74/156,338,431.59 = 156,338,431.59/x
  3. Step 3: Cross multiply
    71,872,787.74x = 156,338,431.59 × 156,338,431.59
  4. Step 4: Simplify right side
    71,872,787.74x = 24,441,705,193,193,648
  5. Step 5: Solve for x
    x = 24,441,705,193,193,648/71,872,787.74
  6. Step 6: Final answer
    x = 340,068,974.10

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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.