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Finding the Third Proportional to 44,847 and 98,424

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Solution

The third proportional to 44,847 and 98,424 is: 216,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,847 : 98,424 = 98,424 : x
  2. Step 2: Convert to fraction form
    44,847/98,424 = 98,424/x
  3. Step 3: Cross multiply
    44,847x = 98,424 × 98,424
  4. Step 4: Simplify right side
    44,847x = 9,687,283,776
  5. Step 5: Solve for x
    x = 9,687,283,776/44,847
  6. Step 6: Final answer
    x = 216,007.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.