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Finding the Third Proportional to 98,941 and 220,028

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Solution

The third proportional to 98,941 and 220,028 is: 489,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,941 : 220,028 = 220,028 : x
  2. Step 2: Convert to fraction form
    98,941/220,028 = 220,028/x
  3. Step 3: Cross multiply
    98,941x = 220,028 × 220,028
  4. Step 4: Simplify right side
    98,941x = 48,412,320,784
  5. Step 5: Solve for x
    x = 48,412,320,784/98,941
  6. Step 6: Final answer
    x = 489,304.95

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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.