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Finding the Third Proportional to 48,195.75 and 104,434.88

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Solution

The third proportional to 48,195.75 and 104,434.88 is: 226,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,195.75 : 104,434.88 = 104,434.88 : x
  2. Step 2: Convert to fraction form
    48,195.75/104,434.88 = 104,434.88/x
  3. Step 3: Cross multiply
    48,195.75x = 104,434.88 × 104,434.88
  4. Step 4: Simplify right side
    48,195.75x = 10,906,643,116.27
  5. Step 5: Solve for x
    x = 10,906,643,116.27/48,195.75
  6. Step 6: Final answer
    x = 226,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.