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Finding the Third Proportional to 107,983.13 and 231,958.69

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Solution

The third proportional to 107,983.13 and 231,958.69 is: 498,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.13 : 231,958.69 = 231,958.69 : x
  2. Step 2: Convert to fraction form
    107,983.13/231,958.69 = 231,958.69/x
  3. Step 3: Cross multiply
    107,983.13x = 231,958.69 × 231,958.69
  4. Step 4: Simplify right side
    107,983.13x = 53,804,832,706.72
  5. Step 5: Solve for x
    x = 53,804,832,706.72/107,983.13
  6. Step 6: Final answer
    x = 498,270.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.