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Finding the Third Proportional to 95,809.50 and 223,782.75

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Solution

The third proportional to 95,809.50 and 223,782.75 is: 522,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,809.50 : 223,782.75 = 223,782.75 : x
  2. Step 2: Convert to fraction form
    95,809.50/223,782.75 = 223,782.75/x
  3. Step 3: Cross multiply
    95,809.50x = 223,782.75 × 223,782.75
  4. Step 4: Simplify right side
    95,809.50x = 50,078,719,197.56
  5. Step 5: Solve for x
    x = 50,078,719,197.56/95,809.50
  6. Step 6: Final answer
    x = 522,690.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.