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Finding the Third Proportional to 104,965.50 and 223,947

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Solution

The third proportional to 104,965.50 and 223,947 is: 477,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,965.50 : 223,947 = 223,947 : x
  2. Step 2: Convert to fraction form
    104,965.50/223,947 = 223,947/x
  3. Step 3: Cross multiply
    104,965.50x = 223,947 × 223,947
  4. Step 4: Simplify right side
    104,965.50x = 50,152,258,809
  5. Step 5: Solve for x
    x = 50,152,258,809/104,965.50
  6. Step 6: Final answer
    x = 477,797.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.