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Finding the Third Proportional to 96,165.56 and 149,288.06

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Solution

The third proportional to 96,165.56 and 149,288.06 is: 231,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,165.56 : 149,288.06 = 149,288.06 : x
  2. Step 2: Convert to fraction form
    96,165.56/149,288.06 = 149,288.06/x
  3. Step 3: Cross multiply
    96,165.56x = 149,288.06 × 149,288.06
  4. Step 4: Simplify right side
    96,165.56x = 22,286,925,605.00
  5. Step 5: Solve for x
    x = 22,286,925,605.00/96,165.56
  6. Step 6: Final answer
    x = 231,755.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.