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Finding the Third Proportional to 43,947 and 95,913

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Solution

The third proportional to 43,947 and 95,913 is: 209,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,947 : 95,913 = 95,913 : x
  2. Step 2: Convert to fraction form
    43,947/95,913 = 95,913/x
  3. Step 3: Cross multiply
    43,947x = 95,913 × 95,913
  4. Step 4: Simplify right side
    43,947x = 9,199,303,569
  5. Step 5: Solve for x
    x = 9,199,303,569/43,947
  6. Step 6: Final answer
    x = 209,327.23

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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.