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Finding the Third Proportional to 101,451 and 216,972

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Solution

The third proportional to 101,451 and 216,972 is: 464,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451 : 216,972 = 216,972 : x
  2. Step 2: Convert to fraction form
    101,451/216,972 = 216,972/x
  3. Step 3: Cross multiply
    101,451x = 216,972 × 216,972
  4. Step 4: Simplify right side
    101,451x = 47,076,848,784
  5. Step 5: Solve for x
    x = 47,076,848,784/101,451
  6. Step 6: Final answer
    x = 464,035.34

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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.