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Finding the Third Proportional to 83,452.75 and 185,563.63

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Solution

The third proportional to 83,452.75 and 185,563.63 is: 412,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452.75 : 185,563.63 = 185,563.63 : x
  2. Step 2: Convert to fraction form
    83,452.75/185,563.63 = 185,563.63/x
  3. Step 3: Cross multiply
    83,452.75x = 185,563.63 × 185,563.63
  4. Step 4: Simplify right side
    83,452.75x = 34,433,858,923.14
  5. Step 5: Solve for x
    x = 34,433,858,923.14/83,452.75
  6. Step 6: Final answer
    x = 412,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.