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Finding the Third Proportional to 95,830 and 203,951

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Solution

The third proportional to 95,830 and 203,951 is: 434,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830 : 203,951 = 203,951 : x
  2. Step 2: Convert to fraction form
    95,830/203,951 = 203,951/x
  3. Step 3: Cross multiply
    95,830x = 203,951 × 203,951
  4. Step 4: Simplify right side
    95,830x = 41,596,010,401
  5. Step 5: Solve for x
    x = 41,596,010,401/95,830
  6. Step 6: Final answer
    x = 434,060.42

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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.