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Finding the Third Proportional to 95,991.75 and 209,478.94

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Solution

The third proportional to 95,991.75 and 209,478.94 is: 457,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,991.75 : 209,478.94 = 209,478.94 : x
  2. Step 2: Convert to fraction form
    95,991.75/209,478.94 = 209,478.94/x
  3. Step 3: Cross multiply
    95,991.75x = 209,478.94 × 209,478.94
  4. Step 4: Simplify right side
    95,991.75x = 43,881,425,256.13
  5. Step 5: Solve for x
    x = 43,881,425,256.13/95,991.75
  6. Step 6: Final answer
    x = 457,137.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.