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Finding the Third Proportional to 92,919 and 197,826

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Solution

The third proportional to 92,919 and 197,826 is: 421,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,919 : 197,826 = 197,826 : x
  2. Step 2: Convert to fraction form
    92,919/197,826 = 197,826/x
  3. Step 3: Cross multiply
    92,919x = 197,826 × 197,826
  4. Step 4: Simplify right side
    92,919x = 39,135,126,276
  5. Step 5: Solve for x
    x = 39,135,126,276/92,919
  6. Step 6: Final answer
    x = 421,174.64

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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.