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Finding the Third Proportional to 72,722,314.50 and 156,982,147.50

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Solution

The third proportional to 72,722,314.50 and 156,982,147.50 is: 338,869,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,722,314.50 : 156,982,147.50 = 156,982,147.50 : x
  2. Step 2: Convert to fraction form
    72,722,314.50/156,982,147.50 = 156,982,147.50/x
  3. Step 3: Cross multiply
    72,722,314.50x = 156,982,147.50 × 156,982,147.50
  4. Step 4: Simplify right side
    72,722,314.50x = 24,643,394,633,711,756
  5. Step 5: Solve for x
    x = 24,643,394,633,711,756/72,722,314.50
  6. Step 6: Final answer
    x = 338,869,778.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.