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Finding the Third Proportional to 96,833.81 and 149,564.81

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Solution

The third proportional to 96,833.81 and 149,564.81 is: 231,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,833.81 : 149,564.81 = 149,564.81 : x
  2. Step 2: Convert to fraction form
    96,833.81/149,564.81 = 149,564.81/x
  3. Step 3: Cross multiply
    96,833.81x = 149,564.81 × 149,564.81
  4. Step 4: Simplify right side
    96,833.81x = 22,369,633,138.16
  5. Step 5: Solve for x
    x = 22,369,633,138.16/96,833.81
  6. Step 6: Final answer
    x = 231,010.56

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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.