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Finding the Third Proportional to 219,105 and 466,458.75

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Solution

The third proportional to 219,105 and 466,458.75 is: 993,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105 : 466,458.75 = 466,458.75 : x
  2. Step 2: Convert to fraction form
    219,105/466,458.75 = 466,458.75/x
  3. Step 3: Cross multiply
    219,105x = 466,458.75 × 466,458.75
  4. Step 4: Simplify right side
    219,105x = 217,583,765,451.56
  5. Step 5: Solve for x
    x = 217,583,765,451.56/219,105
  6. Step 6: Final answer
    x = 993,057.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.