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Finding the Third Proportional to 44,359 and 98,559

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Solution

The third proportional to 44,359 and 98,559 is: 218,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,359 : 98,559 = 98,559 : x
  2. Step 2: Convert to fraction form
    44,359/98,559 = 98,559/x
  3. Step 3: Cross multiply
    44,359x = 98,559 × 98,559
  4. Step 4: Simplify right side
    44,359x = 9,713,876,481
  5. Step 5: Solve for x
    x = 9,713,876,481/44,359
  6. Step 6: Final answer
    x = 218,983.22

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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.