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Finding the Third Proportional to 49,458 and 106,836

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Solution

The third proportional to 49,458 and 106,836 is: 230,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458 : 106,836 = 106,836 : x
  2. Step 2: Convert to fraction form
    49,458/106,836 = 106,836/x
  3. Step 3: Cross multiply
    49,458x = 106,836 × 106,836
  4. Step 4: Simplify right side
    49,458x = 11,413,930,896
  5. Step 5: Solve for x
    x = 11,413,930,896/49,458
  6. Step 6: Final answer
    x = 230,780.28

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