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Finding the Third Proportional to 40,767.05 and 97,201.90

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Solution

The third proportional to 40,767.05 and 97,201.90 is: 231,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767.05 : 97,201.90 = 97,201.90 : x
  2. Step 2: Convert to fraction form
    40,767.05/97,201.90 = 97,201.90/x
  3. Step 3: Cross multiply
    40,767.05x = 97,201.90 × 97,201.90
  4. Step 4: Simplify right side
    40,767.05x = 9,448,209,059.85
  5. Step 5: Solve for x
    x = 9,448,209,059.85/40,767.05
  6. Step 6: Final answer
    x = 231,760.94

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.