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Finding the Third Proportional to 92,789 and 203,311

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Solution

The third proportional to 92,789 and 203,311 is: 445,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,789 : 203,311 = 203,311 : x
  2. Step 2: Convert to fraction form
    92,789/203,311 = 203,311/x
  3. Step 3: Cross multiply
    92,789x = 203,311 × 203,311
  4. Step 4: Simplify right side
    92,789x = 41,335,362,721
  5. Step 5: Solve for x
    x = 41,335,362,721/92,789
  6. Step 6: Final answer
    x = 445,476.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.