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Finding the Third Proportional to 95,678 and 210,676

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Solution

The third proportional to 95,678 and 210,676 is: 463,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,678 : 210,676 = 210,676 : x
  2. Step 2: Convert to fraction form
    95,678/210,676 = 210,676/x
  3. Step 3: Cross multiply
    95,678x = 210,676 × 210,676
  4. Step 4: Simplify right side
    95,678x = 44,384,376,976
  5. Step 5: Solve for x
    x = 44,384,376,976/95,678
  6. Step 6: Final answer
    x = 463,893.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.