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Finding the Third Proportional to 92,364 and 198,855

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Solution

The third proportional to 92,364 and 198,855 is: 428,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364 : 198,855 = 198,855 : x
  2. Step 2: Convert to fraction form
    92,364/198,855 = 198,855/x
  3. Step 3: Cross multiply
    92,364x = 198,855 × 198,855
  4. Step 4: Simplify right side
    92,364x = 39,543,311,025
  5. Step 5: Solve for x
    x = 39,543,311,025/92,364
  6. Step 6: Final answer
    x = 428,124.71

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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.