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Finding the Third Proportional to 101,970 and 218,706

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Solution

The third proportional to 101,970 and 218,706 is: 469,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970 : 218,706 = 218,706 : x
  2. Step 2: Convert to fraction form
    101,970/218,706 = 218,706/x
  3. Step 3: Cross multiply
    101,970x = 218,706 × 218,706
  4. Step 4: Simplify right side
    101,970x = 47,832,314,436
  5. Step 5: Solve for x
    x = 47,832,314,436/101,970
  6. Step 6: Final answer
    x = 469,082.22

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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.