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Finding the Third Proportional to 49,229.44 and 107,989.03

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Solution

The third proportional to 49,229.44 and 107,989.03 is: 236,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,229.44 : 107,989.03 = 107,989.03 : x
  2. Step 2: Convert to fraction form
    49,229.44/107,989.03 = 107,989.03/x
  3. Step 3: Cross multiply
    49,229.44x = 107,989.03 × 107,989.03
  4. Step 4: Simplify right side
    49,229.44x = 11,661,630,870.31
  5. Step 5: Solve for x
    x = 11,661,630,870.31/49,229.44
  6. Step 6: Final answer
    x = 236,883.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.