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Finding the Third Proportional to 56,320.31 and 114,194.81

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Solution

The third proportional to 56,320.31 and 114,194.81 is: 231,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320.31 : 114,194.81 = 114,194.81 : x
  2. Step 2: Convert to fraction form
    56,320.31/114,194.81 = 114,194.81/x
  3. Step 3: Cross multiply
    56,320.31x = 114,194.81 × 114,194.81
  4. Step 4: Simplify right side
    56,320.31x = 13,040,455,201.91
  5. Step 5: Solve for x
    x = 13,040,455,201.91/56,320.31
  6. Step 6: Final answer
    x = 231,540.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.