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Finding the Third Proportional to 96,838.50 and 209,757

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Solution

The third proportional to 96,838.50 and 209,757 is: 454,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838.50 : 209,757 = 209,757 : x
  2. Step 2: Convert to fraction form
    96,838.50/209,757 = 209,757/x
  3. Step 3: Cross multiply
    96,838.50x = 209,757 × 209,757
  4. Step 4: Simplify right side
    96,838.50x = 43,997,999,049
  5. Step 5: Solve for x
    x = 43,997,999,049/96,838.50
  6. Step 6: Final answer
    x = 454,344.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.