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Finding the Third Proportional to 102,514.50 and 221,874.75

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Solution

The third proportional to 102,514.50 and 221,874.75 is: 480,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.50 : 221,874.75 = 221,874.75 : x
  2. Step 2: Convert to fraction form
    102,514.50/221,874.75 = 221,874.75/x
  3. Step 3: Cross multiply
    102,514.50x = 221,874.75 × 221,874.75
  4. Step 4: Simplify right side
    102,514.50x = 49,228,404,687.56
  5. Step 5: Solve for x
    x = 49,228,404,687.56/102,514.50
  6. Step 6: Final answer
    x = 480,209.19

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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.