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Finding the Third Proportional to 92,487 and 198,078

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Solution

The third proportional to 92,487 and 198,078 is: 424,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,487 : 198,078 = 198,078 : x
  2. Step 2: Convert to fraction form
    92,487/198,078 = 198,078/x
  3. Step 3: Cross multiply
    92,487x = 198,078 × 198,078
  4. Step 4: Simplify right side
    92,487x = 39,234,894,084
  5. Step 5: Solve for x
    x = 39,234,894,084/92,487
  6. Step 6: Final answer
    x = 424,220.64

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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.