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Finding the Third Proportional to 48,205.13 and 104,672.25

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Solution

The third proportional to 48,205.13 and 104,672.25 is: 227,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.13 : 104,672.25 = 104,672.25 : x
  2. Step 2: Convert to fraction form
    48,205.13/104,672.25 = 104,672.25/x
  3. Step 3: Cross multiply
    48,205.13x = 104,672.25 × 104,672.25
  4. Step 4: Simplify right side
    48,205.13x = 10,956,279,920.06
  5. Step 5: Solve for x
    x = 10,956,279,920.06/48,205.13
  6. Step 6: Final answer
    x = 227,284.55

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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.