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Finding the Third Proportional to 106,481 and 227,736

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Solution

The third proportional to 106,481 and 227,736 is: 487,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481 : 227,736 = 227,736 : x
  2. Step 2: Convert to fraction form
    106,481/227,736 = 227,736/x
  3. Step 3: Cross multiply
    106,481x = 227,736 × 227,736
  4. Step 4: Simplify right side
    106,481x = 51,863,685,696
  5. Step 5: Solve for x
    x = 51,863,685,696/106,481
  6. Step 6: Final answer
    x = 487,069.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.