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Finding the Third Proportional to 96,496.31 and 199,568.81

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Solution

The third proportional to 96,496.31 and 199,568.81 is: 412,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496.31 : 199,568.81 = 199,568.81 : x
  2. Step 2: Convert to fraction form
    96,496.31/199,568.81 = 199,568.81/x
  3. Step 3: Cross multiply
    96,496.31x = 199,568.81 × 199,568.81
  4. Step 4: Simplify right side
    96,496.31x = 39,827,710,922.66
  5. Step 5: Solve for x
    x = 39,827,710,922.66/96,496.31
  6. Step 6: Final answer
    x = 412,738.16

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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.