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Finding the Third Proportional to 98,932 and 220,016

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Solution

The third proportional to 98,932 and 220,016 is: 489,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,932 : 220,016 = 220,016 : x
  2. Step 2: Convert to fraction form
    98,932/220,016 = 220,016/x
  3. Step 3: Cross multiply
    98,932x = 220,016 × 220,016
  4. Step 4: Simplify right side
    98,932x = 48,407,040,256
  5. Step 5: Solve for x
    x = 48,407,040,256/98,932
  6. Step 6: Final answer
    x = 489,296.08

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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.