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Finding the Third Proportional to 85,433.75 and 199,611.75

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Solution

The third proportional to 85,433.75 and 199,611.75 is: 466,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.75 : 199,611.75 = 199,611.75 : x
  2. Step 2: Convert to fraction form
    85,433.75/199,611.75 = 199,611.75/x
  3. Step 3: Cross multiply
    85,433.75x = 199,611.75 × 199,611.75
  4. Step 4: Simplify right side
    85,433.75x = 39,844,850,738.06
  5. Step 5: Solve for x
    x = 39,844,850,738.06/85,433.75
  6. Step 6: Final answer
    x = 466,383.02

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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.