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Finding the Third Proportional to 96,057 and 206,910

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Solution

The third proportional to 96,057 and 206,910 is: 445,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,057 : 206,910 = 206,910 : x
  2. Step 2: Convert to fraction form
    96,057/206,910 = 206,910/x
  3. Step 3: Cross multiply
    96,057x = 206,910 × 206,910
  4. Step 4: Simplify right side
    96,057x = 42,811,748,100
  5. Step 5: Solve for x
    x = 42,811,748,100/96,057
  6. Step 6: Final answer
    x = 445,691.08

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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.