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Finding the Third Proportional to 83,855.25 and 195,908.63

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Solution

The third proportional to 83,855.25 and 195,908.63 is: 457,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.25 : 195,908.63 = 195,908.63 : x
  2. Step 2: Convert to fraction form
    83,855.25/195,908.63 = 195,908.63/x
  3. Step 3: Cross multiply
    83,855.25x = 195,908.63 × 195,908.63
  4. Step 4: Simplify right side
    83,855.25x = 38,380,189,349.39
  5. Step 5: Solve for x
    x = 38,380,189,349.39/83,855.25
  6. Step 6: Final answer
    x = 457,695.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.