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Finding the Third Proportional to 47,999.25 and 99,069.75

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Solution

The third proportional to 47,999.25 and 99,069.75 is: 204,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999.25 : 99,069.75 = 99,069.75 : x
  2. Step 2: Convert to fraction form
    47,999.25/99,069.75 = 99,069.75/x
  3. Step 3: Cross multiply
    47,999.25x = 99,069.75 × 99,069.75
  4. Step 4: Simplify right side
    47,999.25x = 9,814,815,365.06
  5. Step 5: Solve for x
    x = 9,814,815,365.06/47,999.25
  6. Step 6: Final answer
    x = 204,478.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.