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Finding the Third Proportional to 48,544.25 and 105,913.75

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Solution

The third proportional to 48,544.25 and 105,913.75 is: 231,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,544.25 : 105,913.75 = 105,913.75 : x
  2. Step 2: Convert to fraction form
    48,544.25/105,913.75 = 105,913.75/x
  3. Step 3: Cross multiply
    48,544.25x = 105,913.75 × 105,913.75
  4. Step 4: Simplify right side
    48,544.25x = 11,217,722,439.06
  5. Step 5: Solve for x
    x = 11,217,722,439.06/48,544.25
  6. Step 6: Final answer
    x = 231,082.41

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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.