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Finding the Third Proportional to 95,334 and 203,337

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Solution

The third proportional to 95,334 and 203,337 is: 433,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,334 : 203,337 = 203,337 : x
  2. Step 2: Convert to fraction form
    95,334/203,337 = 203,337/x
  3. Step 3: Cross multiply
    95,334x = 203,337 × 203,337
  4. Step 4: Simplify right side
    95,334x = 41,345,935,569
  5. Step 5: Solve for x
    x = 41,345,935,569/95,334
  6. Step 6: Final answer
    x = 433,695.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.