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Finding the Third Proportional to 49,196.43 and 105,231.87

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Solution

The third proportional to 49,196.43 and 105,231.87 is: 225,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.43 : 105,231.87 = 105,231.87 : x
  2. Step 2: Convert to fraction form
    49,196.43/105,231.87 = 105,231.87/x
  3. Step 3: Cross multiply
    49,196.43x = 105,231.87 × 105,231.87
  4. Step 4: Simplify right side
    49,196.43x = 11,073,745,871.77
  5. Step 5: Solve for x
    x = 11,073,745,871.77/49,196.43
  6. Step 6: Final answer
    x = 225,092.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.