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Finding the Third Proportional to 101,108.25 and 152,917.88

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Solution

The third proportional to 101,108.25 and 152,917.88 is: 231,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,108.25 : 152,917.88 = 152,917.88 : x
  2. Step 2: Convert to fraction form
    101,108.25/152,917.88 = 152,917.88/x
  3. Step 3: Cross multiply
    101,108.25x = 152,917.88 × 152,917.88
  4. Step 4: Simplify right side
    101,108.25x = 23,383,876,494.52
  5. Step 5: Solve for x
    x = 23,383,876,494.52/101,108.25
  6. Step 6: Final answer
    x = 231,275.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.