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Finding the Third Proportional to 96,643.31 and 199,915.97

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Solution

The third proportional to 96,643.31 and 199,915.97 is: 413,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.31 : 199,915.97 = 199,915.97 : x
  2. Step 2: Convert to fraction form
    96,643.31/199,915.97 = 199,915.97/x
  3. Step 3: Cross multiply
    96,643.31x = 199,915.97 × 199,915.97
  4. Step 4: Simplify right side
    96,643.31x = 39,966,394,561.25
  5. Step 5: Solve for x
    x = 39,966,394,561.25/96,643.31
  6. Step 6: Final answer
    x = 413,545.37

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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.