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Finding the Third Proportional to 99,514.20 and 214,872.75

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Solution

The third proportional to 99,514.20 and 214,872.75 is: 463,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,514.20 : 214,872.75 = 214,872.75 : x
  2. Step 2: Convert to fraction form
    99,514.20/214,872.75 = 214,872.75/x
  3. Step 3: Cross multiply
    99,514.20x = 214,872.75 × 214,872.75
  4. Step 4: Simplify right side
    99,514.20x = 46,170,298,692.56
  5. Step 5: Solve for x
    x = 46,170,298,692.56/99,514.20
  6. Step 6: Final answer
    x = 463,956.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.