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Finding the Third Proportional to 96,446 and 200,272

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Solution

The third proportional to 96,446 and 200,272 is: 415,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,446 : 200,272 = 200,272 : x
  2. Step 2: Convert to fraction form
    96,446/200,272 = 200,272/x
  3. Step 3: Cross multiply
    96,446x = 200,272 × 200,272
  4. Step 4: Simplify right side
    96,446x = 40,108,873,984
  5. Step 5: Solve for x
    x = 40,108,873,984/96,446
  6. Step 6: Final answer
    x = 415,868.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.