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Finding the Third Proportional to 41,735.25 and 98,422.13

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Solution

The third proportional to 41,735.25 and 98,422.13 is: 232,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.25 : 98,422.13 = 98,422.13 : x
  2. Step 2: Convert to fraction form
    41,735.25/98,422.13 = 98,422.13/x
  3. Step 3: Cross multiply
    41,735.25x = 98,422.13 × 98,422.13
  4. Step 4: Simplify right side
    41,735.25x = 9,686,914,689.52
  5. Step 5: Solve for x
    x = 9,686,914,689.52/41,735.25
  6. Step 6: Final answer
    x = 232,103.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.