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Finding the Third Proportional to 43,842.38 and 94,691.25

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Solution

The third proportional to 43,842.38 and 94,691.25 is: 204,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.38 : 94,691.25 = 94,691.25 : x
  2. Step 2: Convert to fraction form
    43,842.38/94,691.25 = 94,691.25/x
  3. Step 3: Cross multiply
    43,842.38x = 94,691.25 × 94,691.25
  4. Step 4: Simplify right side
    43,842.38x = 8,966,432,826.56
  5. Step 5: Solve for x
    x = 8,966,432,826.56/43,842.38
  6. Step 6: Final answer
    x = 204,515.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.