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Finding the Third Proportional to 81,930.66 and 110,694.09

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Solution

The third proportional to 81,930.66 and 110,694.09 is: 149,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.66 : 110,694.09 = 110,694.09 : x
  2. Step 2: Convert to fraction form
    81,930.66/110,694.09 = 110,694.09/x
  3. Step 3: Cross multiply
    81,930.66x = 110,694.09 × 110,694.09
  4. Step 4: Simplify right side
    81,930.66x = 12,253,182,391.13
  5. Step 5: Solve for x
    x = 12,253,182,391.13/81,930.66
  6. Step 6: Final answer
    x = 149,555.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.