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Finding the Third Proportional to 106,230.75 and 228,249.19

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Solution

The third proportional to 106,230.75 and 228,249.19 is: 490,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,230.75 : 228,249.19 = 228,249.19 : x
  2. Step 2: Convert to fraction form
    106,230.75/228,249.19 = 228,249.19/x
  3. Step 3: Cross multiply
    106,230.75x = 228,249.19 × 228,249.19
  4. Step 4: Simplify right side
    106,230.75x = 52,097,691,594.41
  5. Step 5: Solve for x
    x = 52,097,691,594.41/106,230.75
  6. Step 6: Final answer
    x = 490,420.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.