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Finding the Third Proportional to 43,021.41 and 92,270.81

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Solution

The third proportional to 43,021.41 and 92,270.81 is: 197,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,021.41 : 92,270.81 = 92,270.81 : x
  2. Step 2: Convert to fraction form
    43,021.41/92,270.81 = 92,270.81/x
  3. Step 3: Cross multiply
    43,021.41x = 92,270.81 × 92,270.81
  4. Step 4: Simplify right side
    43,021.41x = 8,513,902,839.41
  5. Step 5: Solve for x
    x = 8,513,902,839.41/43,021.41
  6. Step 6: Final answer
    x = 197,899.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.