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Finding the Third Proportional to 101,922 and 216,966

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Solution

The third proportional to 101,922 and 216,966 is: 461,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922 : 216,966 = 216,966 : x
  2. Step 2: Convert to fraction form
    101,922/216,966 = 216,966/x
  3. Step 3: Cross multiply
    101,922x = 216,966 × 216,966
  4. Step 4: Simplify right side
    101,922x = 47,074,245,156
  5. Step 5: Solve for x
    x = 47,074,245,156/101,922
  6. Step 6: Final answer
    x = 461,865.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.