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Finding the Third Proportional to 95,015 and 206,458

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Solution

The third proportional to 95,015 and 206,458 is: 448,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,015 : 206,458 = 206,458 : x
  2. Step 2: Convert to fraction form
    95,015/206,458 = 206,458/x
  3. Step 3: Cross multiply
    95,015x = 206,458 × 206,458
  4. Step 4: Simplify right side
    95,015x = 42,624,905,764
  5. Step 5: Solve for x
    x = 42,624,905,764/95,015
  6. Step 6: Final answer
    x = 448,612.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.