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Finding the Third Proportional to 89,245.38 and 187,694.38

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Solution

The third proportional to 89,245.38 and 187,694.38 is: 394,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,245.38 : 187,694.38 = 187,694.38 : x
  2. Step 2: Convert to fraction form
    89,245.38/187,694.38 = 187,694.38/x
  3. Step 3: Cross multiply
    89,245.38x = 187,694.38 × 187,694.38
  4. Step 4: Simplify right side
    89,245.38x = 35,229,178,406.64
  5. Step 5: Solve for x
    x = 35,229,178,406.64/89,245.38
  6. Step 6: Final answer
    x = 394,745.14

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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.