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Finding the Third Proportional to 101,980 and 219,692

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Solution

The third proportional to 101,980 and 219,692 is: 473,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980 : 219,692 = 219,692 : x
  2. Step 2: Convert to fraction form
    101,980/219,692 = 219,692/x
  3. Step 3: Cross multiply
    101,980x = 219,692 × 219,692
  4. Step 4: Simplify right side
    101,980x = 48,264,574,864
  5. Step 5: Solve for x
    x = 48,264,574,864/101,980
  6. Step 6: Final answer
    x = 473,274.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.