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Finding the Third Proportional to 99,934.75 and 203,883.75

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Solution

The third proportional to 99,934.75 and 203,883.75 is: 415,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,934.75 : 203,883.75 = 203,883.75 : x
  2. Step 2: Convert to fraction form
    99,934.75/203,883.75 = 203,883.75/x
  3. Step 3: Cross multiply
    99,934.75x = 203,883.75 × 203,883.75
  4. Step 4: Simplify right side
    99,934.75x = 41,568,583,514.06
  5. Step 5: Solve for x
    x = 41,568,583,514.06/99,934.75
  6. Step 6: Final answer
    x = 415,957.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.