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Finding the Third Proportional to 95,913 and 199,640.25

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Solution

The third proportional to 95,913 and 199,640.25 is: 415,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 199,640.25 = 199,640.25 : x
  2. Step 2: Convert to fraction form
    95,913/199,640.25 = 199,640.25/x
  3. Step 3: Cross multiply
    95,913x = 199,640.25 × 199,640.25
  4. Step 4: Simplify right side
    95,913x = 39,856,229,420.06
  5. Step 5: Solve for x
    x = 39,856,229,420.06/95,913
  6. Step 6: Final answer
    x = 415,545.64

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