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Finding the Third Proportional to 89,698.50 and 188,691

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Solution

The third proportional to 89,698.50 and 188,691 is: 396,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,698.50 : 188,691 = 188,691 : x
  2. Step 2: Convert to fraction form
    89,698.50/188,691 = 188,691/x
  3. Step 3: Cross multiply
    89,698.50x = 188,691 × 188,691
  4. Step 4: Simplify right side
    89,698.50x = 35,604,293,481
  5. Step 5: Solve for x
    x = 35,604,293,481/89,698.50
  6. Step 6: Final answer
    x = 396,932.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.