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Finding the Third Proportional to 88,209.84 and 132,514.17

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Solution

The third proportional to 88,209.84 and 132,514.17 is: 199,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209.84 : 132,514.17 = 132,514.17 : x
  2. Step 2: Convert to fraction form
    88,209.84/132,514.17 = 132,514.17/x
  3. Step 3: Cross multiply
    88,209.84x = 132,514.17 × 132,514.17
  4. Step 4: Simplify right side
    88,209.84x = 17,560,005,747.72
  5. Step 5: Solve for x
    x = 17,560,005,747.72/88,209.84
  6. Step 6: Final answer
    x = 199,070.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.