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Finding the Third Proportional to 99,193.50 and 150,866.06

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Solution

The third proportional to 99,193.50 and 150,866.06 is: 229,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,193.50 : 150,866.06 = 150,866.06 : x
  2. Step 2: Convert to fraction form
    99,193.50/150,866.06 = 150,866.06/x
  3. Step 3: Cross multiply
    99,193.50x = 150,866.06 × 150,866.06
  4. Step 4: Simplify right side
    99,193.50x = 22,760,568,814.25
  5. Step 5: Solve for x
    x = 22,760,568,814.25/99,193.50
  6. Step 6: Final answer
    x = 229,456.25

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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.