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Finding the Third Proportional to 95,651.25 and 209,484

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Solution

The third proportional to 95,651.25 and 209,484 is: 458,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,651.25 : 209,484 = 209,484 : x
  2. Step 2: Convert to fraction form
    95,651.25/209,484 = 209,484/x
  3. Step 3: Cross multiply
    95,651.25x = 209,484 × 209,484
  4. Step 4: Simplify right side
    95,651.25x = 43,883,546,256
  5. Step 5: Solve for x
    x = 43,883,546,256/95,651.25
  6. Step 6: Final answer
    x = 458,786.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.