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Finding the Third Proportional to 53,103.09 and 110,853.56

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Solution

The third proportional to 53,103.09 and 110,853.56 is: 231,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.09 : 110,853.56 = 110,853.56 : x
  2. Step 2: Convert to fraction form
    53,103.09/110,853.56 = 110,853.56/x
  3. Step 3: Cross multiply
    53,103.09x = 110,853.56 × 110,853.56
  4. Step 4: Simplify right side
    53,103.09x = 12,288,512,318.94
  5. Step 5: Solve for x
    x = 12,288,512,318.94/53,103.09
  6. Step 6: Final answer
    x = 231,408.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.