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Finding the Third Proportional to 92,492 and 198,795

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Solution

The third proportional to 92,492 and 198,795 is: 427,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,492 : 198,795 = 198,795 : x
  2. Step 2: Convert to fraction form
    92,492/198,795 = 198,795/x
  3. Step 3: Cross multiply
    92,492x = 198,795 × 198,795
  4. Step 4: Simplify right side
    92,492x = 39,519,452,025
  5. Step 5: Solve for x
    x = 39,519,452,025/92,492
  6. Step 6: Final answer
    x = 427,274.27

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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.