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Finding the Third Proportional to 47,828.39 and 104,268.52

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Solution

The third proportional to 47,828.39 and 104,268.52 is: 227,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828.39 : 104,268.52 = 104,268.52 : x
  2. Step 2: Convert to fraction form
    47,828.39/104,268.52 = 104,268.52/x
  3. Step 3: Cross multiply
    47,828.39x = 104,268.52 × 104,268.52
  4. Step 4: Simplify right side
    47,828.39x = 10,871,923,350.64
  5. Step 5: Solve for x
    x = 10,871,923,350.64/47,828.39
  6. Step 6: Final answer
    x = 227,311.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.