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Finding the Third Proportional to 95,184 and 225,496.13

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Solution

The third proportional to 95,184 and 225,496.13 is: 534,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,184 : 225,496.13 = 225,496.13 : x
  2. Step 2: Convert to fraction form
    95,184/225,496.13 = 225,496.13/x
  3. Step 3: Cross multiply
    95,184x = 225,496.13 × 225,496.13
  4. Step 4: Simplify right side
    95,184x = 50,848,502,390.02
  5. Step 5: Solve for x
    x = 50,848,502,390.02/95,184
  6. Step 6: Final answer
    x = 534,212.71

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.