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Finding the Third Proportional to 89,419.50 and 189,499.50

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Solution

The third proportional to 89,419.50 and 189,499.50 is: 401,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,419.50 : 189,499.50 = 189,499.50 : x
  2. Step 2: Convert to fraction form
    89,419.50/189,499.50 = 189,499.50/x
  3. Step 3: Cross multiply
    89,419.50x = 189,499.50 × 189,499.50
  4. Step 4: Simplify right side
    89,419.50x = 35,910,060,500.25
  5. Step 5: Solve for x
    x = 35,910,060,500.25/89,419.50
  6. Step 6: Final answer
    x = 401,590.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.