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Finding the Third Proportional to 95,178.38 and 204,710.63

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Solution

The third proportional to 95,178.38 and 204,710.63 is: 440,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,178.38 : 204,710.63 = 204,710.63 : x
  2. Step 2: Convert to fraction form
    95,178.38/204,710.63 = 204,710.63/x
  3. Step 3: Cross multiply
    95,178.38x = 204,710.63 × 204,710.63
  4. Step 4: Simplify right side
    95,178.38x = 41,906,439,987.89
  5. Step 5: Solve for x
    x = 41,906,439,987.89/95,178.38
  6. Step 6: Final answer
    x = 440,293.71

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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.