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Finding the Third Proportional to 96,768 and 214,272

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Solution

The third proportional to 96,768 and 214,272 is: 474,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 214,272 = 214,272 : x
  2. Step 2: Convert to fraction form
    96,768/214,272 = 214,272/x
  3. Step 3: Cross multiply
    96,768x = 214,272 × 214,272
  4. Step 4: Simplify right side
    96,768x = 45,912,489,984
  5. Step 5: Solve for x
    x = 45,912,489,984/96,768
  6. Step 6: Final answer
    x = 474,459.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.