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Finding the Third Proportional to 96,196 and 205,512

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Solution

The third proportional to 96,196 and 205,512 is: 439,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,196 : 205,512 = 205,512 : x
  2. Step 2: Convert to fraction form
    96,196/205,512 = 205,512/x
  3. Step 3: Cross multiply
    96,196x = 205,512 × 205,512
  4. Step 4: Simplify right side
    96,196x = 42,235,182,144
  5. Step 5: Solve for x
    x = 42,235,182,144/96,196
  6. Step 6: Final answer
    x = 439,053.41

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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.