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Finding the Third Proportional to 85,433.25 and 199,610.63

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Solution

The third proportional to 85,433.25 and 199,610.63 is: 466,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.25 : 199,610.63 = 199,610.63 : x
  2. Step 2: Convert to fraction form
    85,433.25/199,610.63 = 199,610.63/x
  3. Step 3: Cross multiply
    85,433.25x = 199,610.63 × 199,610.63
  4. Step 4: Simplify right side
    85,433.25x = 39,844,401,612.89
  5. Step 5: Solve for x
    x = 39,844,401,612.89/85,433.25
  6. Step 6: Final answer
    x = 466,380.50

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