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Finding the Third Proportional to 38,884.13 and 80,221.88

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Solution

The third proportional to 38,884.13 and 80,221.88 is: 165,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.13 : 80,221.88 = 80,221.88 : x
  2. Step 2: Convert to fraction form
    38,884.13/80,221.88 = 80,221.88/x
  3. Step 3: Cross multiply
    38,884.13x = 80,221.88 × 80,221.88
  4. Step 4: Simplify right side
    38,884.13x = 6,435,549,228.52
  5. Step 5: Solve for x
    x = 6,435,549,228.52/38,884.13
  6. Step 6: Final answer
    x = 165,505.83

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.