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Finding the Third Proportional to 103,683 and 222,107

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Solution

The third proportional to 103,683 and 222,107 is: 475,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 222,107 = 222,107 : x
  2. Step 2: Convert to fraction form
    103,683/222,107 = 222,107/x
  3. Step 3: Cross multiply
    103,683x = 222,107 × 222,107
  4. Step 4: Simplify right side
    103,683x = 49,331,519,449
  5. Step 5: Solve for x
    x = 49,331,519,449/103,683
  6. Step 6: Final answer
    x = 475,791.78

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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.