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Finding the Third Proportional to 89,193.87 and 187,145.65

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Solution

The third proportional to 89,193.87 and 187,145.65 is: 392,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,193.87 : 187,145.65 = 187,145.65 : x
  2. Step 2: Convert to fraction form
    89,193.87/187,145.65 = 187,145.65/x
  3. Step 3: Cross multiply
    89,193.87x = 187,145.65 × 187,145.65
  4. Step 4: Simplify right side
    89,193.87x = 35,023,493,729.09
  5. Step 5: Solve for x
    x = 35,023,493,729.09/89,193.87
  6. Step 6: Final answer
    x = 392,667.06

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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.