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Finding the Third Proportional to 95,610.38 and 210,093.75

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Solution

The third proportional to 95,610.38 and 210,093.75 is: 461,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,610.38 : 210,093.75 = 210,093.75 : x
  2. Step 2: Convert to fraction form
    95,610.38/210,093.75 = 210,093.75/x
  3. Step 3: Cross multiply
    95,610.38x = 210,093.75 × 210,093.75
  4. Step 4: Simplify right side
    95,610.38x = 44,139,383,789.06
  5. Step 5: Solve for x
    x = 44,139,383,789.06/95,610.38
  6. Step 6: Final answer
    x = 461,658.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.