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Finding the Third Proportional to 96,165 and 149,288.63

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Solution

The third proportional to 96,165 and 149,288.63 is: 231,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,165 : 149,288.63 = 149,288.63 : x
  2. Step 2: Convert to fraction form
    96,165/149,288.63 = 149,288.63/x
  3. Step 3: Cross multiply
    96,165x = 149,288.63 × 149,288.63
  4. Step 4: Simplify right side
    96,165x = 22,287,093,554.39
  5. Step 5: Solve for x
    x = 22,287,093,554.39/96,165
  6. Step 6: Final answer
    x = 231,758.89

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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.