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Finding the Third Proportional to 100,125 and 219,963

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Solution

The third proportional to 100,125 and 219,963 is: 483,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,125 : 219,963 = 219,963 : x
  2. Step 2: Convert to fraction form
    100,125/219,963 = 219,963/x
  3. Step 3: Cross multiply
    100,125x = 219,963 × 219,963
  4. Step 4: Simplify right side
    100,125x = 48,383,721,369
  5. Step 5: Solve for x
    x = 48,383,721,369/100,125
  6. Step 6: Final answer
    x = 483,233.17

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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.