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Finding the Third Proportional to 96,057 and 210,797

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Solution

The third proportional to 96,057 and 210,797 is: 462,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,057 : 210,797 = 210,797 : x
  2. Step 2: Convert to fraction form
    96,057/210,797 = 210,797/x
  3. Step 3: Cross multiply
    96,057x = 210,797 × 210,797
  4. Step 4: Simplify right side
    96,057x = 44,435,375,209
  5. Step 5: Solve for x
    x = 44,435,375,209/96,057
  6. Step 6: Final answer
    x = 462,593.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.