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Finding the Third Proportional to 106,311 and 227,886

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Solution

The third proportional to 106,311 and 227,886 is: 488,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311 : 227,886 = 227,886 : x
  2. Step 2: Convert to fraction form
    106,311/227,886 = 227,886/x
  3. Step 3: Cross multiply
    106,311x = 227,886 × 227,886
  4. Step 4: Simplify right side
    106,311x = 51,932,028,996
  5. Step 5: Solve for x
    x = 51,932,028,996/106,311
  6. Step 6: Final answer
    x = 488,491.59

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Why These Related Problems?

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