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Finding the Third Proportional to 44,337 and 98,514

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Solution

The third proportional to 44,337 and 98,514 is: 218,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,337 : 98,514 = 98,514 : x
  2. Step 2: Convert to fraction form
    44,337/98,514 = 98,514/x
  3. Step 3: Cross multiply
    44,337x = 98,514 × 98,514
  4. Step 4: Simplify right side
    44,337x = 9,705,008,196
  5. Step 5: Solve for x
    x = 9,705,008,196/44,337
  6. Step 6: Final answer
    x = 218,891.86

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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.