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Finding the Third Proportional to 49,101.38 and 106,039.50

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Solution

The third proportional to 49,101.38 and 106,039.50 is: 229,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.38 : 106,039.50 = 106,039.50 : x
  2. Step 2: Convert to fraction form
    49,101.38/106,039.50 = 106,039.50/x
  3. Step 3: Cross multiply
    49,101.38x = 106,039.50 × 106,039.50
  4. Step 4: Simplify right side
    49,101.38x = 11,244,375,560.25
  5. Step 5: Solve for x
    x = 11,244,375,560.25/49,101.38
  6. Step 6: Final answer
    x = 229,003.27

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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.