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Finding the Third Proportional to 96,643.88 and 199,917

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Solution

The third proportional to 96,643.88 and 199,917 is: 413,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.88 : 199,917 = 199,917 : x
  2. Step 2: Convert to fraction form
    96,643.88/199,917 = 199,917/x
  3. Step 3: Cross multiply
    96,643.88x = 199,917 × 199,917
  4. Step 4: Simplify right side
    96,643.88x = 39,966,806,889
  5. Step 5: Solve for x
    x = 39,966,806,889/96,643.88
  6. Step 6: Final answer
    x = 413,547.23

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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.