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Finding the Third Proportional to 105,198 and 227,244

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Solution

The third proportional to 105,198 and 227,244 is: 490,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,198 : 227,244 = 227,244 : x
  2. Step 2: Convert to fraction form
    105,198/227,244 = 227,244/x
  3. Step 3: Cross multiply
    105,198x = 227,244 × 227,244
  4. Step 4: Simplify right side
    105,198x = 51,639,835,536
  5. Step 5: Solve for x
    x = 51,639,835,536/105,198
  6. Step 6: Final answer
    x = 490,882.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.