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Finding the Third Proportional to 48,390.75 and 104,198.06

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Solution

The third proportional to 48,390.75 and 104,198.06 is: 224,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,390.75 : 104,198.06 = 104,198.06 : x
  2. Step 2: Convert to fraction form
    48,390.75/104,198.06 = 104,198.06/x
  3. Step 3: Cross multiply
    48,390.75x = 104,198.06 × 104,198.06
  4. Step 4: Simplify right side
    48,390.75x = 10,857,236,228.75
  5. Step 5: Solve for x
    x = 10,857,236,228.75/48,390.75
  6. Step 6: Final answer
    x = 224,365.94

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Why These Related Problems?

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