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Finding the Third Proportional to 92,936 and 197,859

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Solution

The third proportional to 92,936 and 197,859 is: 421,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,936 : 197,859 = 197,859 : x
  2. Step 2: Convert to fraction form
    92,936/197,859 = 197,859/x
  3. Step 3: Cross multiply
    92,936x = 197,859 × 197,859
  4. Step 4: Simplify right side
    92,936x = 39,148,183,881
  5. Step 5: Solve for x
    x = 39,148,183,881/92,936
  6. Step 6: Final answer
    x = 421,238.10

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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.