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Finding the Third Proportional to 96,406 and 197,509

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Solution

The third proportional to 96,406 and 197,509 is: 404,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406 : 197,509 = 197,509 : x
  2. Step 2: Convert to fraction form
    96,406/197,509 = 197,509/x
  3. Step 3: Cross multiply
    96,406x = 197,509 × 197,509
  4. Step 4: Simplify right side
    96,406x = 39,009,805,081
  5. Step 5: Solve for x
    x = 39,009,805,081/96,406
  6. Step 6: Final answer
    x = 404,640.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.