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Finding the Third Proportional to 95,539.82 and 195,225.82

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Solution

The third proportional to 95,539.82 and 195,225.82 is: 398,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,539.82 : 195,225.82 = 195,225.82 : x
  2. Step 2: Convert to fraction form
    95,539.82/195,225.82 = 195,225.82/x
  3. Step 3: Cross multiply
    95,539.82x = 195,225.82 × 195,225.82
  4. Step 4: Simplify right side
    95,539.82x = 38,113,120,916.69
  5. Step 5: Solve for x
    x = 38,113,120,916.69/95,539.82
  6. Step 6: Final answer
    x = 398,923.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.