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Finding the Third Proportional to 47,530.97 and 103,273.31

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Solution

The third proportional to 47,530.97 and 103,273.31 is: 224,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,530.97 : 103,273.31 = 103,273.31 : x
  2. Step 2: Convert to fraction form
    47,530.97/103,273.31 = 103,273.31/x
  3. Step 3: Cross multiply
    47,530.97x = 103,273.31 × 103,273.31
  4. Step 4: Simplify right side
    47,530.97x = 10,665,377,074.72
  5. Step 5: Solve for x
    x = 10,665,377,074.72/47,530.97
  6. Step 6: Final answer
    x = 224,387.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.