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Finding the Third Proportional to 99,204 and 149,700.50

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Solution

The third proportional to 99,204 and 149,700.50 is: 225,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204 : 149,700.50 = 149,700.50 : x
  2. Step 2: Convert to fraction form
    99,204/149,700.50 = 149,700.50/x
  3. Step 3: Cross multiply
    99,204x = 149,700.50 × 149,700.50
  4. Step 4: Simplify right side
    99,204x = 22,410,239,700.25
  5. Step 5: Solve for x
    x = 22,410,239,700.25/99,204
  6. Step 6: Final answer
    x = 225,900.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.