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Finding the Third Proportional to 96,194 and 205,456

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Solution

The third proportional to 96,194 and 205,456 is: 438,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,194 : 205,456 = 205,456 : x
  2. Step 2: Convert to fraction form
    96,194/205,456 = 205,456/x
  3. Step 3: Cross multiply
    96,194x = 205,456 × 205,456
  4. Step 4: Simplify right side
    96,194x = 42,212,167,936
  5. Step 5: Solve for x
    x = 42,212,167,936/96,194
  6. Step 6: Final answer
    x = 438,823.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.