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Finding the Third Proportional to 92,553.75 and 196,785.56

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Solution

The third proportional to 92,553.75 and 196,785.56 is: 418,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,553.75 : 196,785.56 = 196,785.56 : x
  2. Step 2: Convert to fraction form
    92,553.75/196,785.56 = 196,785.56/x
  3. Step 3: Cross multiply
    92,553.75x = 196,785.56 × 196,785.56
  4. Step 4: Simplify right side
    92,553.75x = 38,724,557,608.44
  5. Step 5: Solve for x
    x = 38,724,557,608.44/92,553.75
  6. Step 6: Final answer
    x = 418,400.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.