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Finding the Third Proportional to 90,541.05 and 196,824.59

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Solution

The third proportional to 90,541.05 and 196,824.59 is: 427,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,541.05 : 196,824.59 = 196,824.59 : x
  2. Step 2: Convert to fraction form
    90,541.05/196,824.59 = 196,824.59/x
  3. Step 3: Cross multiply
    90,541.05x = 196,824.59 × 196,824.59
  4. Step 4: Simplify right side
    90,541.05x = 38,739,917,629.47
  5. Step 5: Solve for x
    x = 38,739,917,629.47/90,541.05
  6. Step 6: Final answer
    x = 427,871.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.