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Finding the Third Proportional to 48,196.69 and 107,571.38

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Solution

The third proportional to 48,196.69 and 107,571.38 is: 240,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,196.69 : 107,571.38 = 107,571.38 : x
  2. Step 2: Convert to fraction form
    48,196.69/107,571.38 = 107,571.38/x
  3. Step 3: Cross multiply
    48,196.69x = 107,571.38 × 107,571.38
  4. Step 4: Simplify right side
    48,196.69x = 11,571,600,719.39
  5. Step 5: Solve for x
    x = 11,571,600,719.39/48,196.69
  6. Step 6: Final answer
    x = 240,091.20

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.