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Finding the Third Proportional to 92,061 and 198,645

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Solution

The third proportional to 92,061 and 198,645 is: 428,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,061 : 198,645 = 198,645 : x
  2. Step 2: Convert to fraction form
    92,061/198,645 = 198,645/x
  3. Step 3: Cross multiply
    92,061x = 198,645 × 198,645
  4. Step 4: Simplify right side
    92,061x = 39,459,836,025
  5. Step 5: Solve for x
    x = 39,459,836,025/92,061
  6. Step 6: Final answer
    x = 428,627.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.