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Finding the Third Proportional to 104,096.81 and 223,980.19

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Solution

The third proportional to 104,096.81 and 223,980.19 is: 481,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,096.81 : 223,980.19 = 223,980.19 : x
  2. Step 2: Convert to fraction form
    104,096.81/223,980.19 = 223,980.19/x
  3. Step 3: Cross multiply
    104,096.81x = 223,980.19 × 223,980.19
  4. Step 4: Simplify right side
    104,096.81x = 50,167,124,392.54
  5. Step 5: Solve for x
    x = 50,167,124,392.54/104,096.81
  6. Step 6: Final answer
    x = 481,927.57

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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.