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Finding the Third Proportional to 92,938 and 197,864

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Solution

The third proportional to 92,938 and 197,864 is: 421,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 197,864 = 197,864 : x
  2. Step 2: Convert to fraction form
    92,938/197,864 = 197,864/x
  3. Step 3: Cross multiply
    92,938x = 197,864 × 197,864
  4. Step 4: Simplify right side
    92,938x = 39,150,162,496
  5. Step 5: Solve for x
    x = 39,150,162,496/92,938
  6. Step 6: Final answer
    x = 421,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.