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Finding the Third Proportional to 95,108 and 203,712

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Solution

The third proportional to 95,108 and 203,712 is: 436,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,108 : 203,712 = 203,712 : x
  2. Step 2: Convert to fraction form
    95,108/203,712 = 203,712/x
  3. Step 3: Cross multiply
    95,108x = 203,712 × 203,712
  4. Step 4: Simplify right side
    95,108x = 41,498,578,944
  5. Step 5: Solve for x
    x = 41,498,578,944/95,108
  6. Step 6: Final answer
    x = 436,331.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.