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Finding the Third Proportional to 108,451.50 and 223,821

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Solution

The third proportional to 108,451.50 and 223,821 is: 461,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,451.50 : 223,821 = 223,821 : x
  2. Step 2: Convert to fraction form
    108,451.50/223,821 = 223,821/x
  3. Step 3: Cross multiply
    108,451.50x = 223,821 × 223,821
  4. Step 4: Simplify right side
    108,451.50x = 50,095,840,041
  5. Step 5: Solve for x
    x = 50,095,840,041/108,451.50
  6. Step 6: Final answer
    x = 461,919.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.