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Finding the Third Proportional to 107,146.50 and 231,207

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Solution

The third proportional to 107,146.50 and 231,207 is: 498,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146.50 : 231,207 = 231,207 : x
  2. Step 2: Convert to fraction form
    107,146.50/231,207 = 231,207/x
  3. Step 3: Cross multiply
    107,146.50x = 231,207 × 231,207
  4. Step 4: Simplify right side
    107,146.50x = 53,456,676,849
  5. Step 5: Solve for x
    x = 53,456,676,849/107,146.50
  6. Step 6: Final answer
    x = 498,912.02

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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.