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Finding the Third Proportional to 49,236.19 and 107,383.64

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Solution

The third proportional to 49,236.19 and 107,383.64 is: 234,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.19 : 107,383.64 = 107,383.64 : x
  2. Step 2: Convert to fraction form
    49,236.19/107,383.64 = 107,383.64/x
  3. Step 3: Cross multiply
    49,236.19x = 107,383.64 × 107,383.64
  4. Step 4: Simplify right side
    49,236.19x = 11,531,246,273.88
  5. Step 5: Solve for x
    x = 11,531,246,273.88/49,236.19
  6. Step 6: Final answer
    x = 234,202.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.