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Finding the Third Proportional to 98,718.75 and 213,198.33

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Solution

The third proportional to 98,718.75 and 213,198.33 is: 460,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,718.75 : 213,198.33 = 213,198.33 : x
  2. Step 2: Convert to fraction form
    98,718.75/213,198.33 = 213,198.33/x
  3. Step 3: Cross multiply
    98,718.75x = 213,198.33 × 213,198.33
  4. Step 4: Simplify right side
    98,718.75x = 45,453,527,115.30
  5. Step 5: Solve for x
    x = 45,453,527,115.30/98,718.75
  6. Step 6: Final answer
    x = 460,434.59

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Why These Related Problems?

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