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Finding the Third Proportional to 106,227 and 231,186

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Solution

The third proportional to 106,227 and 231,186 is: 503,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227 : 231,186 = 231,186 : x
  2. Step 2: Convert to fraction form
    106,227/231,186 = 231,186/x
  3. Step 3: Cross multiply
    106,227x = 231,186 × 231,186
  4. Step 4: Simplify right side
    106,227x = 53,446,966,596
  5. Step 5: Solve for x
    x = 53,446,966,596/106,227
  6. Step 6: Final answer
    x = 503,139.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.