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Finding the Third Proportional to 44,287 and 96,349

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Solution

The third proportional to 44,287 and 96,349 is: 209,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,287 : 96,349 = 96,349 : x
  2. Step 2: Convert to fraction form
    44,287/96,349 = 96,349/x
  3. Step 3: Cross multiply
    44,287x = 96,349 × 96,349
  4. Step 4: Simplify right side
    44,287x = 9,283,129,801
  5. Step 5: Solve for x
    x = 9,283,129,801/44,287
  6. Step 6: Final answer
    x = 209,612.97

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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.