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Finding the Third Proportional to 101,088 and 220,116

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Solution

The third proportional to 101,088 and 220,116 is: 479,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,088 : 220,116 = 220,116 : x
  2. Step 2: Convert to fraction form
    101,088/220,116 = 220,116/x
  3. Step 3: Cross multiply
    101,088x = 220,116 × 220,116
  4. Step 4: Simplify right side
    101,088x = 48,451,053,456
  5. Step 5: Solve for x
    x = 48,451,053,456/101,088
  6. Step 6: Final answer
    x = 479,295.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.