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Finding the Third Proportional to 96,644.81 and 199,918.69

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Solution

The third proportional to 96,644.81 and 199,918.69 is: 413,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,644.81 : 199,918.69 = 199,918.69 : x
  2. Step 2: Convert to fraction form
    96,644.81/199,918.69 = 199,918.69/x
  3. Step 3: Cross multiply
    96,644.81x = 199,918.69 × 199,918.69
  4. Step 4: Simplify right side
    96,644.81x = 39,967,481,611.72
  5. Step 5: Solve for x
    x = 39,967,481,611.72/96,644.81
  6. Step 6: Final answer
    x = 413,550.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.