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Finding the Third Proportional to 103,988.25 and 223,738.50

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Solution

The third proportional to 103,988.25 and 223,738.50 is: 481,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,988.25 : 223,738.50 = 223,738.50 : x
  2. Step 2: Convert to fraction form
    103,988.25/223,738.50 = 223,738.50/x
  3. Step 3: Cross multiply
    103,988.25x = 223,738.50 × 223,738.50
  4. Step 4: Simplify right side
    103,988.25x = 50,058,916,382.25
  5. Step 5: Solve for x
    x = 50,058,916,382.25/103,988.25
  6. Step 6: Final answer
    x = 481,390.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.