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Finding the Third Proportional to 88,645.50 and 189,745.50

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Solution

The third proportional to 88,645.50 and 189,745.50 is: 406,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,645.50 : 189,745.50 = 189,745.50 : x
  2. Step 2: Convert to fraction form
    88,645.50/189,745.50 = 189,745.50/x
  3. Step 3: Cross multiply
    88,645.50x = 189,745.50 × 189,745.50
  4. Step 4: Simplify right side
    88,645.50x = 36,003,354,770.25
  5. Step 5: Solve for x
    x = 36,003,354,770.25/88,645.50
  6. Step 6: Final answer
    x = 406,149.83

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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.