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Finding the Third Proportional to 43,099.31 and 66,891.38

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Solution

The third proportional to 43,099.31 and 66,891.38 is: 103,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099.31 : 66,891.38 = 66,891.38 : x
  2. Step 2: Convert to fraction form
    43,099.31/66,891.38 = 66,891.38/x
  3. Step 3: Cross multiply
    43,099.31x = 66,891.38 × 66,891.38
  4. Step 4: Simplify right side
    43,099.31x = 4,474,456,049.39
  5. Step 5: Solve for x
    x = 4,474,456,049.39/43,099.31
  6. Step 6: Final answer
    x = 103,817.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.