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Finding the Third Proportional to 102,994.69 and 225,626.44

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Solution

The third proportional to 102,994.69 and 225,626.44 is: 494,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,994.69 : 225,626.44 = 225,626.44 : x
  2. Step 2: Convert to fraction form
    102,994.69/225,626.44 = 225,626.44/x
  3. Step 3: Cross multiply
    102,994.69x = 225,626.44 × 225,626.44
  4. Step 4: Simplify right side
    102,994.69x = 50,907,289,298.94
  5. Step 5: Solve for x
    x = 50,907,289,298.94/102,994.69
  6. Step 6: Final answer
    x = 494,271.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.