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Finding the Third Proportional to 101,965.50 and 223,629

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Solution

The third proportional to 101,965.50 and 223,629 is: 490,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,965.50 : 223,629 = 223,629 : x
  2. Step 2: Convert to fraction form
    101,965.50/223,629 = 223,629/x
  3. Step 3: Cross multiply
    101,965.50x = 223,629 × 223,629
  4. Step 4: Simplify right side
    101,965.50x = 50,009,929,641
  5. Step 5: Solve for x
    x = 50,009,929,641/101,965.50
  6. Step 6: Final answer
    x = 490,459.32

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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.