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Finding the Third Proportional to 103,066 and 217,204

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Solution

The third proportional to 103,066 and 217,204 is: 457,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,066 : 217,204 = 217,204 : x
  2. Step 2: Convert to fraction form
    103,066/217,204 = 217,204/x
  3. Step 3: Cross multiply
    103,066x = 217,204 × 217,204
  4. Step 4: Simplify right side
    103,066x = 47,177,577,616
  5. Step 5: Solve for x
    x = 47,177,577,616/103,066
  6. Step 6: Final answer
    x = 457,741.42

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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.