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Finding the Third Proportional to 87,230.63 and 188,952.94

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Solution

The third proportional to 87,230.63 and 188,952.94 is: 409,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,230.63 : 188,952.94 = 188,952.94 : x
  2. Step 2: Convert to fraction form
    87,230.63/188,952.94 = 188,952.94/x
  3. Step 3: Cross multiply
    87,230.63x = 188,952.94 × 188,952.94
  4. Step 4: Simplify right side
    87,230.63x = 35,703,212,589.88
  5. Step 5: Solve for x
    x = 35,703,212,589.88/87,230.63
  6. Step 6: Final answer
    x = 409,296.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.