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Finding the Third Proportional to 216,198.75 and 460,464.75

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Solution

The third proportional to 216,198.75 and 460,464.75 is: 980,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,198.75 : 460,464.75 = 460,464.75 : x
  2. Step 2: Convert to fraction form
    216,198.75/460,464.75 = 460,464.75/x
  3. Step 3: Cross multiply
    216,198.75x = 460,464.75 × 460,464.75
  4. Step 4: Simplify right side
    216,198.75x = 212,027,785,992.56
  5. Step 5: Solve for x
    x = 212,027,785,992.56/216,198.75
  6. Step 6: Final answer
    x = 980,707.73

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Why These Related Problems?

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