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Finding the Third Proportional to 96,002 and 209,474

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Solution

The third proportional to 96,002 and 209,474 is: 457,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002 : 209,474 = 209,474 : x
  2. Step 2: Convert to fraction form
    96,002/209,474 = 209,474/x
  3. Step 3: Cross multiply
    96,002x = 209,474 × 209,474
  4. Step 4: Simplify right side
    96,002x = 43,879,356,676
  5. Step 5: Solve for x
    x = 43,879,356,676/96,002
  6. Step 6: Final answer
    x = 457,067.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.