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Finding the Third Proportional to 101,453 and 216,976

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Solution

The third proportional to 101,453 and 216,976 is: 464,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,453 : 216,976 = 216,976 : x
  2. Step 2: Convert to fraction form
    101,453/216,976 = 216,976/x
  3. Step 3: Cross multiply
    101,453x = 216,976 × 216,976
  4. Step 4: Simplify right side
    101,453x = 47,078,584,576
  5. Step 5: Solve for x
    x = 47,078,584,576/101,453
  6. Step 6: Final answer
    x = 464,043.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.