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Finding the Third Proportional to 96,744.38 and 149,429.81

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Solution

The third proportional to 96,744.38 and 149,429.81 is: 230,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744.38 : 149,429.81 = 149,429.81 : x
  2. Step 2: Convert to fraction form
    96,744.38/149,429.81 = 149,429.81/x
  3. Step 3: Cross multiply
    96,744.38x = 149,429.81 × 149,429.81
  4. Step 4: Simplify right side
    96,744.38x = 22,329,268,863.79
  5. Step 5: Solve for x
    x = 22,329,268,863.79/96,744.38
  6. Step 6: Final answer
    x = 230,806.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.