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Finding the Third Proportional to 103,677 and 221,568

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Solution

The third proportional to 103,677 and 221,568 is: 473,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677 : 221,568 = 221,568 : x
  2. Step 2: Convert to fraction form
    103,677/221,568 = 221,568/x
  3. Step 3: Cross multiply
    103,677x = 221,568 × 221,568
  4. Step 4: Simplify right side
    103,677x = 49,092,378,624
  5. Step 5: Solve for x
    x = 49,092,378,624/103,677
  6. Step 6: Final answer
    x = 473,512.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.