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Finding the Third Proportional to 92,096 and 198,720

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Solution

The third proportional to 92,096 and 198,720 is: 428,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096 : 198,720 = 198,720 : x
  2. Step 2: Convert to fraction form
    92,096/198,720 = 198,720/x
  3. Step 3: Cross multiply
    92,096x = 198,720 × 198,720
  4. Step 4: Simplify right side
    92,096x = 39,489,638,400
  5. Step 5: Solve for x
    x = 39,489,638,400/92,096
  6. Step 6: Final answer
    x = 428,787.77

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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.