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Finding the Third Proportional to 104,090.20 and 223,967.81

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Solution

The third proportional to 104,090.20 and 223,967.81 is: 481,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,090.20 : 223,967.81 = 223,967.81 : x
  2. Step 2: Convert to fraction form
    104,090.20/223,967.81 = 223,967.81/x
  3. Step 3: Cross multiply
    104,090.20x = 223,967.81 × 223,967.81
  4. Step 4: Simplify right side
    104,090.20x = 50,161,581,036.04
  5. Step 5: Solve for x
    x = 50,161,581,036.04/104,090.20
  6. Step 6: Final answer
    x = 481,904.92

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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.