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Finding the Third Proportional to 41,046.38 and 88,641.63

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Solution

The third proportional to 41,046.38 and 88,641.63 is: 191,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046.38 : 88,641.63 = 88,641.63 : x
  2. Step 2: Convert to fraction form
    41,046.38/88,641.63 = 88,641.63/x
  3. Step 3: Cross multiply
    41,046.38x = 88,641.63 × 88,641.63
  4. Step 4: Simplify right side
    41,046.38x = 7,857,337,682.64
  5. Step 5: Solve for x
    x = 7,857,337,682.64/41,046.38
  6. Step 6: Final answer
    x = 191,425.86

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