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Finding the Third Proportional to 43,299 and 93,067.88

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Solution

The third proportional to 43,299 and 93,067.88 is: 200,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,299 : 93,067.88 = 93,067.88 : x
  2. Step 2: Convert to fraction form
    43,299/93,067.88 = 93,067.88/x
  3. Step 3: Cross multiply
    43,299x = 93,067.88 × 93,067.88
  4. Step 4: Simplify right side
    43,299x = 8,661,629,357.02
  5. Step 5: Solve for x
    x = 8,661,629,357.02/43,299
  6. Step 6: Final answer
    x = 200,042.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.