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Finding the Third Proportional to 103,684 and 217,811

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Solution

The third proportional to 103,684 and 217,811 is: 457,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 217,811 = 217,811 : x
  2. Step 2: Convert to fraction form
    103,684/217,811 = 217,811/x
  3. Step 3: Cross multiply
    103,684x = 217,811 × 217,811
  4. Step 4: Simplify right side
    103,684x = 47,441,631,721
  5. Step 5: Solve for x
    x = 47,441,631,721/103,684
  6. Step 6: Final answer
    x = 457,559.81

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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.