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Finding the Third Proportional to 108,462.94 and 225,126.56

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Solution

The third proportional to 108,462.94 and 225,126.56 is: 467,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,462.94 : 225,126.56 = 225,126.56 : x
  2. Step 2: Convert to fraction form
    108,462.94/225,126.56 = 225,126.56/x
  3. Step 3: Cross multiply
    108,462.94x = 225,126.56 × 225,126.56
  4. Step 4: Simplify right side
    108,462.94x = 50,681,969,143.07
  5. Step 5: Solve for x
    x = 50,681,969,143.07/108,462.94
  6. Step 6: Final answer
    x = 467,274.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.