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Finding the Third Proportional to 84,621.80 and 185,850.28

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Solution

The third proportional to 84,621.80 and 185,850.28 is: 408,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,621.80 : 185,850.28 = 185,850.28 : x
  2. Step 2: Convert to fraction form
    84,621.80/185,850.28 = 185,850.28/x
  3. Step 3: Cross multiply
    84,621.80x = 185,850.28 × 185,850.28
  4. Step 4: Simplify right side
    84,621.80x = 34,540,327,040.70
  5. Step 5: Solve for x
    x = 34,540,327,040.70/84,621.80
  6. Step 6: Final answer
    x = 408,172.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.