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Finding the Third Proportional to 104,186 and 223,905

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Solution

The third proportional to 104,186 and 223,905 is: 481,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,186 : 223,905 = 223,905 : x
  2. Step 2: Convert to fraction form
    104,186/223,905 = 223,905/x
  3. Step 3: Cross multiply
    104,186x = 223,905 × 223,905
  4. Step 4: Simplify right side
    104,186x = 50,133,449,025
  5. Step 5: Solve for x
    x = 50,133,449,025/104,186
  6. Step 6: Final answer
    x = 481,191.80

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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.