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Finding the Third Proportional to 98,385.75 and 150,431.06

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Solution

The third proportional to 98,385.75 and 150,431.06 is: 230,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,385.75 : 150,431.06 = 150,431.06 : x
  2. Step 2: Convert to fraction form
    98,385.75/150,431.06 = 150,431.06/x
  3. Step 3: Cross multiply
    98,385.75x = 150,431.06 × 150,431.06
  4. Step 4: Simplify right side
    98,385.75x = 22,629,504,564.88
  5. Step 5: Solve for x
    x = 22,629,504,564.88/98,385.75
  6. Step 6: Final answer
    x = 230,007.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.