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Finding the Third Proportional to 92,372 and 198,991

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Solution

The third proportional to 92,372 and 198,991 is: 428,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,372 : 198,991 = 198,991 : x
  2. Step 2: Convert to fraction form
    92,372/198,991 = 198,991/x
  3. Step 3: Cross multiply
    92,372x = 198,991 × 198,991
  4. Step 4: Simplify right side
    92,372x = 39,597,418,081
  5. Step 5: Solve for x
    x = 39,597,418,081/92,372
  6. Step 6: Final answer
    x = 428,673.39

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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.