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Finding the Third Proportional to 92,529 and 198,198

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Solution

The third proportional to 92,529 and 198,198 is: 424,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,529 : 198,198 = 198,198 : x
  2. Step 2: Convert to fraction form
    92,529/198,198 = 198,198/x
  3. Step 3: Cross multiply
    92,529x = 198,198 × 198,198
  4. Step 4: Simplify right side
    92,529x = 39,282,447,204
  5. Step 5: Solve for x
    x = 39,282,447,204/92,529
  6. Step 6: Final answer
    x = 424,542.01

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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.