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Finding the Third Proportional to 43,190.25 and 65,389.31

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Solution

The third proportional to 43,190.25 and 65,389.31 is: 98,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,190.25 : 65,389.31 = 65,389.31 : x
  2. Step 2: Convert to fraction form
    43,190.25/65,389.31 = 65,389.31/x
  3. Step 3: Cross multiply
    43,190.25x = 65,389.31 × 65,389.31
  4. Step 4: Simplify right side
    43,190.25x = 4,275,762,189.22
  5. Step 5: Solve for x
    x = 4,275,762,189.22/43,190.25
  6. Step 6: Final answer
    x = 98,998.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.