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Finding the Third Proportional to 96,529 and 212,704

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Solution

The third proportional to 96,529 and 212,704 is: 468,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,529 : 212,704 = 212,704 : x
  2. Step 2: Convert to fraction form
    96,529/212,704 = 212,704/x
  3. Step 3: Cross multiply
    96,529x = 212,704 × 212,704
  4. Step 4: Simplify right side
    96,529x = 45,242,991,616
  5. Step 5: Solve for x
    x = 45,242,991,616/96,529
  6. Step 6: Final answer
    x = 468,698.44

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