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Finding the Third Proportional to 87,024.38 and 188,256.66

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Solution

The third proportional to 87,024.38 and 188,256.66 is: 407,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,024.38 : 188,256.66 = 188,256.66 : x
  2. Step 2: Convert to fraction form
    87,024.38/188,256.66 = 188,256.66/x
  3. Step 3: Cross multiply
    87,024.38x = 188,256.66 × 188,256.66
  4. Step 4: Simplify right side
    87,024.38x = 35,440,568,622.43
  5. Step 5: Solve for x
    x = 35,440,568,622.43/87,024.38
  6. Step 6: Final answer
    x = 407,248.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.