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Finding the Third Proportional to 92,454.75 and 196,824.94

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Solution

The third proportional to 92,454.75 and 196,824.94 is: 419,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454.75 : 196,824.94 = 196,824.94 : x
  2. Step 2: Convert to fraction form
    92,454.75/196,824.94 = 196,824.94/x
  3. Step 3: Cross multiply
    92,454.75x = 196,824.94 × 196,824.94
  4. Step 4: Simplify right side
    92,454.75x = 38,740,056,021.88
  5. Step 5: Solve for x
    x = 38,740,056,021.88/92,454.75
  6. Step 6: Final answer
    x = 419,016.39

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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.