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Finding the Third Proportional to 95,064 and 206,551

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Solution

The third proportional to 95,064 and 206,551 is: 448,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,064 : 206,551 = 206,551 : x
  2. Step 2: Convert to fraction form
    95,064/206,551 = 206,551/x
  3. Step 3: Cross multiply
    95,064x = 206,551 × 206,551
  4. Step 4: Simplify right side
    95,064x = 42,663,315,601
  5. Step 5: Solve for x
    x = 42,663,315,601/95,064
  6. Step 6: Final answer
    x = 448,785.19

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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.