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Finding the Third Proportional to 103,683 and 217,809

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Solution

The third proportional to 103,683 and 217,809 is: 457,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 217,809 = 217,809 : x
  2. Step 2: Convert to fraction form
    103,683/217,809 = 217,809/x
  3. Step 3: Cross multiply
    103,683x = 217,809 × 217,809
  4. Step 4: Simplify right side
    103,683x = 47,440,760,481
  5. Step 5: Solve for x
    x = 47,440,760,481/103,683
  6. Step 6: Final answer
    x = 457,555.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.