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Finding the Third Proportional to 101,968.03 and 218,693.25

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Solution

The third proportional to 101,968.03 and 218,693.25 is: 469,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968.03 : 218,693.25 = 218,693.25 : x
  2. Step 2: Convert to fraction form
    101,968.03/218,693.25 = 218,693.25/x
  3. Step 3: Cross multiply
    101,968.03x = 218,693.25 × 218,693.25
  4. Step 4: Simplify right side
    101,968.03x = 47,826,737,595.56
  5. Step 5: Solve for x
    x = 47,826,737,595.56/101,968.03
  6. Step 6: Final answer
    x = 469,036.59

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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.