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Finding the Third Proportional to 89,845.50 and 196,458

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Solution

The third proportional to 89,845.50 and 196,458 is: 429,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,845.50 : 196,458 = 196,458 : x
  2. Step 2: Convert to fraction form
    89,845.50/196,458 = 196,458/x
  3. Step 3: Cross multiply
    89,845.50x = 196,458 × 196,458
  4. Step 4: Simplify right side
    89,845.50x = 38,595,745,764
  5. Step 5: Solve for x
    x = 38,595,745,764/89,845.50
  6. Step 6: Final answer
    x = 429,579.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.