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Finding the Third Proportional to 80,588.25 and 189,563.63

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Solution

The third proportional to 80,588.25 and 189,563.63 is: 445,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,588.25 : 189,563.63 = 189,563.63 : x
  2. Step 2: Convert to fraction form
    80,588.25/189,563.63 = 189,563.63/x
  3. Step 3: Cross multiply
    80,588.25x = 189,563.63 × 189,563.63
  4. Step 4: Simplify right side
    80,588.25x = 35,934,367,923.14
  5. Step 5: Solve for x
    x = 35,934,367,923.14/80,588.25
  6. Step 6: Final answer
    x = 445,900.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.