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Finding the Third Proportional to 47,437.13 and 101,909.44

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Solution

The third proportional to 47,437.13 and 101,909.44 is: 218,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,437.13 : 101,909.44 = 101,909.44 : x
  2. Step 2: Convert to fraction form
    47,437.13/101,909.44 = 101,909.44/x
  3. Step 3: Cross multiply
    47,437.13x = 101,909.44 × 101,909.44
  4. Step 4: Simplify right side
    47,437.13x = 10,385,533,451.57
  5. Step 5: Solve for x
    x = 10,385,533,451.57/47,437.13
  6. Step 6: Final answer
    x = 218,932.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.