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Finding the Third Proportional to 95,685.75 and 203,468.63

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Solution

The third proportional to 95,685.75 and 203,468.63 is: 432,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685.75 : 203,468.63 = 203,468.63 : x
  2. Step 2: Convert to fraction form
    95,685.75/203,468.63 = 203,468.63/x
  3. Step 3: Cross multiply
    95,685.75x = 203,468.63 × 203,468.63
  4. Step 4: Simplify right side
    95,685.75x = 41,399,481,359.39
  5. Step 5: Solve for x
    x = 41,399,481,359.39/95,685.75
  6. Step 6: Final answer
    x = 432,660.89

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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.