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Finding the Third Proportional to 92,734.88 and 198,591.75

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Solution

The third proportional to 92,734.88 and 198,591.75 is: 425,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,734.88 : 198,591.75 = 198,591.75 : x
  2. Step 2: Convert to fraction form
    92,734.88/198,591.75 = 198,591.75/x
  3. Step 3: Cross multiply
    92,734.88x = 198,591.75 × 198,591.75
  4. Step 4: Simplify right side
    92,734.88x = 39,438,683,168.06
  5. Step 5: Solve for x
    x = 39,438,683,168.06/92,734.88
  6. Step 6: Final answer
    x = 425,284.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.