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Finding the Third Proportional to 41,983.88 and 88,707.38

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Solution

The third proportional to 41,983.88 and 88,707.38 is: 187,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,983.88 : 88,707.38 = 88,707.38 : x
  2. Step 2: Convert to fraction form
    41,983.88/88,707.38 = 88,707.38/x
  3. Step 3: Cross multiply
    41,983.88x = 88,707.38 × 88,707.38
  4. Step 4: Simplify right side
    41,983.88x = 7,868,998,379.39
  5. Step 5: Solve for x
    x = 7,868,998,379.39/41,983.88
  6. Step 6: Final answer
    x = 187,429.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.