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Finding the Third Proportional to 92,366 and 198,859

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Solution

The third proportional to 92,366 and 198,859 is: 428,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,366 : 198,859 = 198,859 : x
  2. Step 2: Convert to fraction form
    92,366/198,859 = 198,859/x
  3. Step 3: Cross multiply
    92,366x = 198,859 × 198,859
  4. Step 4: Simplify right side
    92,366x = 39,544,901,881
  5. Step 5: Solve for x
    x = 39,544,901,881/92,366
  6. Step 6: Final answer
    x = 428,132.67

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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.