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Finding the Third Proportional to 71,392.96 and 156,796.38

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Solution

The third proportional to 71,392.96 and 156,796.38 is: 344,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,392.96 : 156,796.38 = 156,796.38 : x
  2. Step 2: Convert to fraction form
    71,392.96/156,796.38 = 156,796.38/x
  3. Step 3: Cross multiply
    71,392.96x = 156,796.38 × 156,796.38
  4. Step 4: Simplify right side
    71,392.96x = 24,585,105,663.08
  5. Step 5: Solve for x
    x = 24,585,105,663.08/71,392.96
  6. Step 6: Final answer
    x = 344,363.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.