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Finding the Third Proportional to 106,033.25 and 231,118.75

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Solution

The third proportional to 106,033.25 and 231,118.75 is: 503,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.25 : 231,118.75 = 231,118.75 : x
  2. Step 2: Convert to fraction form
    106,033.25/231,118.75 = 231,118.75/x
  3. Step 3: Cross multiply
    106,033.25x = 231,118.75 × 231,118.75
  4. Step 4: Simplify right side
    106,033.25x = 53,415,876,601.56
  5. Step 5: Solve for x
    x = 53,415,876,601.56/106,033.25
  6. Step 6: Final answer
    x = 503,765.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.