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Finding the Third Proportional to 92,576.25 and 199,197

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Solution

The third proportional to 92,576.25 and 199,197 is: 428,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,576.25 : 199,197 = 199,197 : x
  2. Step 2: Convert to fraction form
    92,576.25/199,197 = 199,197/x
  3. Step 3: Cross multiply
    92,576.25x = 199,197 × 199,197
  4. Step 4: Simplify right side
    92,576.25x = 39,679,444,809
  5. Step 5: Solve for x
    x = 39,679,444,809/92,576.25
  6. Step 6: Final answer
    x = 428,613.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.