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Finding the Third Proportional to 100,098 and 218,664

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Solution

The third proportional to 100,098 and 218,664 is: 477,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098 : 218,664 = 218,664 : x
  2. Step 2: Convert to fraction form
    100,098/218,664 = 218,664/x
  3. Step 3: Cross multiply
    100,098x = 218,664 × 218,664
  4. Step 4: Simplify right side
    100,098x = 47,813,944,896
  5. Step 5: Solve for x
    x = 47,813,944,896/100,098
  6. Step 6: Final answer
    x = 477,671.33

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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.