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Finding the Third Proportional to 99,163.50 and 151,069.50

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Solution

The third proportional to 99,163.50 and 151,069.50 is: 230,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,163.50 : 151,069.50 = 151,069.50 : x
  2. Step 2: Convert to fraction form
    99,163.50/151,069.50 = 151,069.50/x
  3. Step 3: Cross multiply
    99,163.50x = 151,069.50 × 151,069.50
  4. Step 4: Simplify right side
    99,163.50x = 22,821,993,830.25
  5. Step 5: Solve for x
    x = 22,821,993,830.25/99,163.50
  6. Step 6: Final answer
    x = 230,145.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.