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Finding the Third Proportional to 100,738.69 and 220,852.83

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Solution

The third proportional to 100,738.69 and 220,852.83 is: 484,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738.69 : 220,852.83 = 220,852.83 : x
  2. Step 2: Convert to fraction form
    100,738.69/220,852.83 = 220,852.83/x
  3. Step 3: Cross multiply
    100,738.69x = 220,852.83 × 220,852.83
  4. Step 4: Simplify right side
    100,738.69x = 48,775,971,690.81
  5. Step 5: Solve for x
    x = 48,775,971,690.81/100,738.69
  6. Step 6: Final answer
    x = 484,183.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.