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Finding the Third Proportional to 41,691.82 and 90,930.56

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Solution

The third proportional to 41,691.82 and 90,930.56 is: 198,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691.82 : 90,930.56 = 90,930.56 : x
  2. Step 2: Convert to fraction form
    41,691.82/90,930.56 = 90,930.56/x
  3. Step 3: Cross multiply
    41,691.82x = 90,930.56 × 90,930.56
  4. Step 4: Simplify right side
    41,691.82x = 8,268,366,463.97
  5. Step 5: Solve for x
    x = 8,268,366,463.97/41,691.82
  6. Step 6: Final answer
    x = 198,321.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.