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Finding the Third Proportional to 101,960 and 216,296

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Solution

The third proportional to 101,960 and 216,296 is: 458,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960 : 216,296 = 216,296 : x
  2. Step 2: Convert to fraction form
    101,960/216,296 = 216,296/x
  3. Step 3: Cross multiply
    101,960x = 216,296 × 216,296
  4. Step 4: Simplify right side
    101,960x = 46,783,959,616
  5. Step 5: Solve for x
    x = 46,783,959,616/101,960
  6. Step 6: Final answer
    x = 458,846.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.