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Finding the Third Proportional to 96,058 and 206,912

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Solution

The third proportional to 96,058 and 206,912 is: 445,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058 : 206,912 = 206,912 : x
  2. Step 2: Convert to fraction form
    96,058/206,912 = 206,912/x
  3. Step 3: Cross multiply
    96,058x = 206,912 × 206,912
  4. Step 4: Simplify right side
    96,058x = 42,812,575,744
  5. Step 5: Solve for x
    x = 42,812,575,744/96,058
  6. Step 6: Final answer
    x = 445,695.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.