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Finding the Third Proportional to 98,634.38 and 213,033.38

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Solution

The third proportional to 98,634.38 and 213,033.38 is: 460,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,634.38 : 213,033.38 = 213,033.38 : x
  2. Step 2: Convert to fraction form
    98,634.38/213,033.38 = 213,033.38/x
  3. Step 3: Cross multiply
    98,634.38x = 213,033.38 × 213,033.38
  4. Step 4: Simplify right side
    98,634.38x = 45,383,218,863.89
  5. Step 5: Solve for x
    x = 45,383,218,863.89/98,634.38
  6. Step 6: Final answer
    x = 460,115.64

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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.