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Finding the Third Proportional to 44,339 and 98,531

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Solution

The third proportional to 44,339 and 98,531 is: 218,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,339 : 98,531 = 98,531 : x
  2. Step 2: Convert to fraction form
    44,339/98,531 = 98,531/x
  3. Step 3: Cross multiply
    44,339x = 98,531 × 98,531
  4. Step 4: Simplify right side
    44,339x = 9,708,357,961
  5. Step 5: Solve for x
    x = 9,708,357,961/44,339
  6. Step 6: Final answer
    x = 218,957.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.