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Finding the Third Proportional to 97,716.38 and 149,733.56

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Solution

The third proportional to 97,716.38 and 149,733.56 is: 229,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716.38 : 149,733.56 = 149,733.56 : x
  2. Step 2: Convert to fraction form
    97,716.38/149,733.56 = 149,733.56/x
  3. Step 3: Cross multiply
    97,716.38x = 149,733.56 × 149,733.56
  4. Step 4: Simplify right side
    97,716.38x = 22,420,139,738.94
  5. Step 5: Solve for x
    x = 22,420,139,738.94/97,716.38
  6. Step 6: Final answer
    x = 229,440.97

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Why These Related Problems?

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