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Finding the Third Proportional to 92,039 and 198,577

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Solution

The third proportional to 92,039 and 198,577 is: 428,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,039 : 198,577 = 198,577 : x
  2. Step 2: Convert to fraction form
    92,039/198,577 = 198,577/x
  3. Step 3: Cross multiply
    92,039x = 198,577 × 198,577
  4. Step 4: Simplify right side
    92,039x = 39,432,824,929
  5. Step 5: Solve for x
    x = 39,432,824,929/92,039
  6. Step 6: Final answer
    x = 428,436.04

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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.