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Finding the Third Proportional to 48,672.94 and 104,617.31

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Solution

The third proportional to 48,672.94 and 104,617.31 is: 224,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672.94 : 104,617.31 = 104,617.31 : x
  2. Step 2: Convert to fraction form
    48,672.94/104,617.31 = 104,617.31/x
  3. Step 3: Cross multiply
    48,672.94x = 104,617.31 × 104,617.31
  4. Step 4: Simplify right side
    48,672.94x = 10,944,782,074.72
  5. Step 5: Solve for x
    x = 10,944,782,074.72/48,672.94
  6. Step 6: Final answer
    x = 224,863.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.