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Finding the Third Proportional to 89,491.50 and 192,994.88

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Solution

The third proportional to 89,491.50 and 192,994.88 is: 416,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,491.50 : 192,994.88 = 192,994.88 : x
  2. Step 2: Convert to fraction form
    89,491.50/192,994.88 = 192,994.88/x
  3. Step 3: Cross multiply
    89,491.50x = 192,994.88 × 192,994.88
  4. Step 4: Simplify right side
    89,491.50x = 37,247,021,776.27
  5. Step 5: Solve for x
    x = 37,247,021,776.27/89,491.50
  6. Step 6: Final answer
    x = 416,207.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.