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Finding the Third Proportional to 39,661.31 and 89,310.94

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Solution

The third proportional to 39,661.31 and 89,310.94 is: 201,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,661.31 : 89,310.94 = 89,310.94 : x
  2. Step 2: Convert to fraction form
    39,661.31/89,310.94 = 89,310.94/x
  3. Step 3: Cross multiply
    39,661.31x = 89,310.94 × 89,310.94
  4. Step 4: Simplify right side
    39,661.31x = 7,976,443,557.13
  5. Step 5: Solve for x
    x = 7,976,443,557.13/39,661.31
  6. Step 6: Final answer
    x = 201,113.96

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.