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Finding the Third Proportional to 92,704 and 198,536

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Solution

The third proportional to 92,704 and 198,536 is: 425,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,704 : 198,536 = 198,536 : x
  2. Step 2: Convert to fraction form
    92,704/198,536 = 198,536/x
  3. Step 3: Cross multiply
    92,704x = 198,536 × 198,536
  4. Step 4: Simplify right side
    92,704x = 39,416,543,296
  5. Step 5: Solve for x
    x = 39,416,543,296/92,704
  6. Step 6: Final answer
    x = 425,187.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.