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Finding the Third Proportional to 96,408 and 211,716

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Solution

The third proportional to 96,408 and 211,716 is: 464,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 211,716 = 211,716 : x
  2. Step 2: Convert to fraction form
    96,408/211,716 = 211,716/x
  3. Step 3: Cross multiply
    96,408x = 211,716 × 211,716
  4. Step 4: Simplify right side
    96,408x = 44,823,664,656
  5. Step 5: Solve for x
    x = 44,823,664,656/96,408
  6. Step 6: Final answer
    x = 464,937.19

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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.