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Finding the Third Proportional to 95,823 and 203,937.75

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Solution

The third proportional to 95,823 and 203,937.75 is: 434,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823 : 203,937.75 = 203,937.75 : x
  2. Step 2: Convert to fraction form
    95,823/203,937.75 = 203,937.75/x
  3. Step 3: Cross multiply
    95,823x = 203,937.75 × 203,937.75
  4. Step 4: Simplify right side
    95,823x = 41,590,605,875.06
  5. Step 5: Solve for x
    x = 41,590,605,875.06/95,823
  6. Step 6: Final answer
    x = 434,035.73

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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.