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Finding the Third Proportional to 95,238.75 and 205,017.75

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Solution

The third proportional to 95,238.75 and 205,017.75 is: 441,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,238.75 : 205,017.75 = 205,017.75 : x
  2. Step 2: Convert to fraction form
    95,238.75/205,017.75 = 205,017.75/x
  3. Step 3: Cross multiply
    95,238.75x = 205,017.75 × 205,017.75
  4. Step 4: Simplify right side
    95,238.75x = 42,032,277,815.06
  5. Step 5: Solve for x
    x = 42,032,277,815.06/95,238.75
  6. Step 6: Final answer
    x = 441,335.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.