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Finding the Third Proportional to 103,687 and 218,441

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Solution

The third proportional to 103,687 and 218,441 is: 460,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687 : 218,441 = 218,441 : x
  2. Step 2: Convert to fraction form
    103,687/218,441 = 218,441/x
  3. Step 3: Cross multiply
    103,687x = 218,441 × 218,441
  4. Step 4: Simplify right side
    103,687x = 47,716,470,481
  5. Step 5: Solve for x
    x = 47,716,470,481/103,687
  6. Step 6: Final answer
    x = 460,197.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.