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Finding the Third Proportional to 103,631 and 226,991

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Solution

The third proportional to 103,631 and 226,991 is: 497,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 226,991 = 226,991 : x
  2. Step 2: Convert to fraction form
    103,631/226,991 = 226,991/x
  3. Step 3: Cross multiply
    103,631x = 226,991 × 226,991
  4. Step 4: Simplify right side
    103,631x = 51,524,914,081
  5. Step 5: Solve for x
    x = 51,524,914,081/103,631
  6. Step 6: Final answer
    x = 497,195.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.