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Finding the Third Proportional to 98,930 and 220,012

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Solution

The third proportional to 98,930 and 220,012 is: 489,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,930 : 220,012 = 220,012 : x
  2. Step 2: Convert to fraction form
    98,930/220,012 = 220,012/x
  3. Step 3: Cross multiply
    98,930x = 220,012 × 220,012
  4. Step 4: Simplify right side
    98,930x = 48,405,280,144
  5. Step 5: Solve for x
    x = 48,405,280,144/98,930
  6. Step 6: Final answer
    x = 489,288.19

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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.