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Finding the Third Proportional to 92,938 and 197,866

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Solution

The third proportional to 92,938 and 197,866 is: 421,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 197,866 = 197,866 : x
  2. Step 2: Convert to fraction form
    92,938/197,866 = 197,866/x
  3. Step 3: Cross multiply
    92,938x = 197,866 × 197,866
  4. Step 4: Simplify right side
    92,938x = 39,150,953,956
  5. Step 5: Solve for x
    x = 39,150,953,956/92,938
  6. Step 6: Final answer
    x = 421,258.84

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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.