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Finding the Third Proportional to 92,704.50 and 195,660.56

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Solution

The third proportional to 92,704.50 and 195,660.56 is: 412,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,704.50 : 195,660.56 = 195,660.56 : x
  2. Step 2: Convert to fraction form
    92,704.50/195,660.56 = 195,660.56/x
  3. Step 3: Cross multiply
    92,704.50x = 195,660.56 × 195,660.56
  4. Step 4: Simplify right side
    92,704.50x = 38,283,055,717.82
  5. Step 5: Solve for x
    x = 38,283,055,717.82/92,704.50
  6. Step 6: Final answer
    x = 412,957.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.