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Finding the Third Proportional to 96,297 and 211,809

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Solution

The third proportional to 96,297 and 211,809 is: 465,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,297 : 211,809 = 211,809 : x
  2. Step 2: Convert to fraction form
    96,297/211,809 = 211,809/x
  3. Step 3: Cross multiply
    96,297x = 211,809 × 211,809
  4. Step 4: Simplify right side
    96,297x = 44,863,052,481
  5. Step 5: Solve for x
    x = 44,863,052,481/96,297
  6. Step 6: Final answer
    x = 465,882.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.