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Finding the Third Proportional to 103,905.50 and 223,702

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Solution

The third proportional to 103,905.50 and 223,702 is: 481,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905.50 : 223,702 = 223,702 : x
  2. Step 2: Convert to fraction form
    103,905.50/223,702 = 223,702/x
  3. Step 3: Cross multiply
    103,905.50x = 223,702 × 223,702
  4. Step 4: Simplify right side
    103,905.50x = 50,042,584,804
  5. Step 5: Solve for x
    x = 50,042,584,804/103,905.50
  6. Step 6: Final answer
    x = 481,616.32

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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.