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Finding the Third Proportional to 94,198.50 and 222,184.50

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Solution

The third proportional to 94,198.50 and 222,184.50 is: 524,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,198.50 : 222,184.50 = 222,184.50 : x
  2. Step 2: Convert to fraction form
    94,198.50/222,184.50 = 222,184.50/x
  3. Step 3: Cross multiply
    94,198.50x = 222,184.50 × 222,184.50
  4. Step 4: Simplify right side
    94,198.50x = 49,365,952,040.25
  5. Step 5: Solve for x
    x = 49,365,952,040.25/94,198.50
  6. Step 6: Final answer
    x = 524,063.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.