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Finding the Third Proportional to 100,076.06 and 219,835.13

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Solution

The third proportional to 100,076.06 and 219,835.13 is: 482,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076.06 : 219,835.13 = 219,835.13 : x
  2. Step 2: Convert to fraction form
    100,076.06/219,835.13 = 219,835.13/x
  3. Step 3: Cross multiply
    100,076.06x = 219,835.13 × 219,835.13
  4. Step 4: Simplify right side
    100,076.06x = 48,327,482,183.77
  5. Step 5: Solve for x
    x = 48,327,482,183.77/100,076.06
  6. Step 6: Final answer
    x = 482,907.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.