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Finding the Third Proportional to 83,143.50 and 188,481.75

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Solution

The third proportional to 83,143.50 and 188,481.75 is: 427,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.50 : 188,481.75 = 188,481.75 : x
  2. Step 2: Convert to fraction form
    83,143.50/188,481.75 = 188,481.75/x
  3. Step 3: Cross multiply
    83,143.50x = 188,481.75 × 188,481.75
  4. Step 4: Simplify right side
    83,143.50x = 35,525,370,083.06
  5. Step 5: Solve for x
    x = 35,525,370,083.06/83,143.50
  6. Step 6: Final answer
    x = 427,277.78

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.