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Finding the Third Proportional to 101,422 and 216,912

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Solution

The third proportional to 101,422 and 216,912 is: 463,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422 : 216,912 = 216,912 : x
  2. Step 2: Convert to fraction form
    101,422/216,912 = 216,912/x
  3. Step 3: Cross multiply
    101,422x = 216,912 × 216,912
  4. Step 4: Simplify right side
    101,422x = 47,050,815,744
  5. Step 5: Solve for x
    x = 47,050,815,744/101,422
  6. Step 6: Final answer
    x = 463,911.34

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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.