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Finding the Third Proportional to 109,063.50 and 222,136.50

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Solution

The third proportional to 109,063.50 and 222,136.50 is: 452,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,063.50 : 222,136.50 = 222,136.50 : x
  2. Step 2: Convert to fraction form
    109,063.50/222,136.50 = 222,136.50/x
  3. Step 3: Cross multiply
    109,063.50x = 222,136.50 × 222,136.50
  4. Step 4: Simplify right side
    109,063.50x = 49,344,624,632.25
  5. Step 5: Solve for x
    x = 49,344,624,632.25/109,063.50
  6. Step 6: Final answer
    x = 452,439.40

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.