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Finding the Third Proportional to 49,291 and 106,886

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Solution

The third proportional to 49,291 and 106,886 is: 231,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,291 : 106,886 = 106,886 : x
  2. Step 2: Convert to fraction form
    49,291/106,886 = 106,886/x
  3. Step 3: Cross multiply
    49,291x = 106,886 × 106,886
  4. Step 4: Simplify right side
    49,291x = 11,424,616,996
  5. Step 5: Solve for x
    x = 11,424,616,996/49,291
  6. Step 6: Final answer
    x = 231,778.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.