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Finding the Third Proportional to 80,514 and 189,447

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Solution

The third proportional to 80,514 and 189,447 is: 445,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514 : 189,447 = 189,447 : x
  2. Step 2: Convert to fraction form
    80,514/189,447 = 189,447/x
  3. Step 3: Cross multiply
    80,514x = 189,447 × 189,447
  4. Step 4: Simplify right side
    80,514x = 35,890,165,809
  5. Step 5: Solve for x
    x = 35,890,165,809/80,514
  6. Step 6: Final answer
    x = 445,763.05

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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.