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Finding the Third Proportional to 100,983.50 and 218,682

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Solution

The third proportional to 100,983.50 and 218,682 is: 473,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983.50 : 218,682 = 218,682 : x
  2. Step 2: Convert to fraction form
    100,983.50/218,682 = 218,682/x
  3. Step 3: Cross multiply
    100,983.50x = 218,682 × 218,682
  4. Step 4: Simplify right side
    100,983.50x = 47,821,817,124
  5. Step 5: Solve for x
    x = 47,821,817,124/100,983.50
  6. Step 6: Final answer
    x = 473,560.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.