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Finding the Third Proportional to 43,197.05 and 65,399.27

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Solution

The third proportional to 43,197.05 and 65,399.27 is: 99,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,197.05 : 65,399.27 = 65,399.27 : x
  2. Step 2: Convert to fraction form
    43,197.05/65,399.27 = 65,399.27/x
  3. Step 3: Cross multiply
    43,197.05x = 65,399.27 × 65,399.27
  4. Step 4: Simplify right side
    43,197.05x = 4,277,064,966.15
  5. Step 5: Solve for x
    x = 4,277,064,966.15/43,197.05
  6. Step 6: Final answer
    x = 99,012.90

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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.