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Finding the Third Proportional to 92,525.25 and 198,162.75

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Solution

The third proportional to 92,525.25 and 198,162.75 is: 424,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,525.25 : 198,162.75 = 198,162.75 : x
  2. Step 2: Convert to fraction form
    92,525.25/198,162.75 = 198,162.75/x
  3. Step 3: Cross multiply
    92,525.25x = 198,162.75 × 198,162.75
  4. Step 4: Simplify right side
    92,525.25x = 39,268,475,487.56
  5. Step 5: Solve for x
    x = 39,268,475,487.56/92,525.25
  6. Step 6: Final answer
    x = 424,408.21

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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.