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Finding the Third Proportional to 99,968 and 220,032

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Solution

The third proportional to 99,968 and 220,032 is: 484,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,968 : 220,032 = 220,032 : x
  2. Step 2: Convert to fraction form
    99,968/220,032 = 220,032/x
  3. Step 3: Cross multiply
    99,968x = 220,032 × 220,032
  4. Step 4: Simplify right side
    99,968x = 48,414,081,024
  5. Step 5: Solve for x
    x = 48,414,081,024/99,968
  6. Step 6: Final answer
    x = 484,295.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.