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Finding the Third Proportional to 99,076.50 and 149,080.50

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Solution

The third proportional to 99,076.50 and 149,080.50 is: 224,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,076.50 : 149,080.50 = 149,080.50 : x
  2. Step 2: Convert to fraction form
    99,076.50/149,080.50 = 149,080.50/x
  3. Step 3: Cross multiply
    99,076.50x = 149,080.50 × 149,080.50
  4. Step 4: Simplify right side
    99,076.50x = 22,224,995,480.25
  5. Step 5: Solve for x
    x = 22,224,995,480.25/99,076.50
  6. Step 6: Final answer
    x = 224,321.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.