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Finding the Third Proportional to 201,163.50 and 418,857.75

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Solution

The third proportional to 201,163.50 and 418,857.75 is: 872,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.50 : 418,857.75 = 418,857.75 : x
  2. Step 2: Convert to fraction form
    201,163.50/418,857.75 = 418,857.75/x
  3. Step 3: Cross multiply
    201,163.50x = 418,857.75 × 418,857.75
  4. Step 4: Simplify right side
    201,163.50x = 175,441,814,735.06
  5. Step 5: Solve for x
    x = 175,441,814,735.06/201,163.50
  6. Step 6: Final answer
    x = 872,135.43

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.