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Finding the Third Proportional to 96,235 and 196,249

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Solution

The third proportional to 96,235 and 196,249 is: 400,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,235 : 196,249 = 196,249 : x
  2. Step 2: Convert to fraction form
    96,235/196,249 = 196,249/x
  3. Step 3: Cross multiply
    96,235x = 196,249 × 196,249
  4. Step 4: Simplify right side
    96,235x = 38,513,670,001
  5. Step 5: Solve for x
    x = 38,513,670,001/96,235
  6. Step 6: Final answer
    x = 400,204.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.