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Finding the Third Proportional to 89,245.13 and 187,693.88

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Solution

The third proportional to 89,245.13 and 187,693.88 is: 394,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,245.13 : 187,693.88 = 187,693.88 : x
  2. Step 2: Convert to fraction form
    89,245.13/187,693.88 = 187,693.88/x
  3. Step 3: Cross multiply
    89,245.13x = 187,693.88 × 187,693.88
  4. Step 4: Simplify right side
    89,245.13x = 35,228,990,712.52
  5. Step 5: Solve for x
    x = 35,228,990,712.52/89,245.13
  6. Step 6: Final answer
    x = 394,744.15

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Why These Related Problems?

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