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Finding the Third Proportional to 47,850.75 and 104,905.13

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Solution

The third proportional to 47,850.75 and 104,905.13 is: 229,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850.75 : 104,905.13 = 104,905.13 : x
  2. Step 2: Convert to fraction form
    47,850.75/104,905.13 = 104,905.13/x
  3. Step 3: Cross multiply
    47,850.75x = 104,905.13 × 104,905.13
  4. Step 4: Simplify right side
    47,850.75x = 11,005,085,251.27
  5. Step 5: Solve for x
    x = 11,005,085,251.27/47,850.75
  6. Step 6: Final answer
    x = 229,987.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.