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Finding the Third Proportional to 107,345.25 and 231,434.72

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Solution

The third proportional to 107,345.25 and 231,434.72 is: 498,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,345.25 : 231,434.72 = 231,434.72 : x
  2. Step 2: Convert to fraction form
    107,345.25/231,434.72 = 231,434.72/x
  3. Step 3: Cross multiply
    107,345.25x = 231,434.72 × 231,434.72
  4. Step 4: Simplify right side
    107,345.25x = 53,562,029,042.89
  5. Step 5: Solve for x
    x = 53,562,029,042.89/107,345.25
  6. Step 6: Final answer
    x = 498,969.72

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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.