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Finding the Third Proportional to 192,202.88 and 449,069.06

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Solution

The third proportional to 192,202.88 and 449,069.06 is: 1,049,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,202.88 : 449,069.06 = 449,069.06 : x
  2. Step 2: Convert to fraction form
    192,202.88/449,069.06 = 449,069.06/x
  3. Step 3: Cross multiply
    192,202.88x = 449,069.06 × 449,069.06
  4. Step 4: Simplify right side
    192,202.88x = 201,663,022,894.63
  5. Step 5: Solve for x
    x = 201,663,022,894.63/192,202.88
  6. Step 6: Final answer
    x = 1,049,219.60

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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.