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Finding the Third Proportional to 104,089.64 and 223,966.69

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Solution

The third proportional to 104,089.64 and 223,966.69 is: 481,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,089.64 : 223,966.69 = 223,966.69 : x
  2. Step 2: Convert to fraction form
    104,089.64/223,966.69 = 223,966.69/x
  3. Step 3: Cross multiply
    104,089.64x = 223,966.69 × 223,966.69
  4. Step 4: Simplify right side
    104,089.64x = 50,161,077,109.72
  5. Step 5: Solve for x
    x = 50,161,077,109.72/104,089.64
  6. Step 6: Final answer
    x = 481,902.68

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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.