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Finding the Third Proportional to 92,935 and 197,857

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Solution

The third proportional to 92,935 and 197,857 is: 421,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,935 : 197,857 = 197,857 : x
  2. Step 2: Convert to fraction form
    92,935/197,857 = 197,857/x
  3. Step 3: Cross multiply
    92,935x = 197,857 × 197,857
  4. Step 4: Simplify right side
    92,935x = 39,147,392,449
  5. Step 5: Solve for x
    x = 39,147,392,449/92,935
  6. Step 6: Final answer
    x = 421,234.11

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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.