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Finding the Third Proportional to 102,642.38 and 225,265.88

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Solution

The third proportional to 102,642.38 and 225,265.88 is: 494,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.38 : 225,265.88 = 225,265.88 : x
  2. Step 2: Convert to fraction form
    102,642.38/225,265.88 = 225,265.88/x
  3. Step 3: Cross multiply
    102,642.38x = 225,265.88 × 225,265.88
  4. Step 4: Simplify right side
    102,642.38x = 50,744,714,439.52
  5. Step 5: Solve for x
    x = 50,744,714,439.52/102,642.38
  6. Step 6: Final answer
    x = 494,383.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.