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Finding the Third Proportional to 96,426 and 213,498

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Solution

The third proportional to 96,426 and 213,498 is: 472,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,426 : 213,498 = 213,498 : x
  2. Step 2: Convert to fraction form
    96,426/213,498 = 213,498/x
  3. Step 3: Cross multiply
    96,426x = 213,498 × 213,498
  4. Step 4: Simplify right side
    96,426x = 45,581,396,004
  5. Step 5: Solve for x
    x = 45,581,396,004/96,426
  6. Step 6: Final answer
    x = 472,708.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.