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Finding the Third Proportional to 103,624 and 219,488

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Solution

The third proportional to 103,624 and 219,488 is: 464,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 219,488 = 219,488 : x
  2. Step 2: Convert to fraction form
    103,624/219,488 = 219,488/x
  3. Step 3: Cross multiply
    103,624x = 219,488 × 219,488
  4. Step 4: Simplify right side
    103,624x = 48,174,982,144
  5. Step 5: Solve for x
    x = 48,174,982,144/103,624
  6. Step 6: Final answer
    x = 464,901.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.