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Finding the Third Proportional to 96,584.91 and 147,759.19

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Solution

The third proportional to 96,584.91 and 147,759.19 is: 226,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584.91 : 147,759.19 = 147,759.19 : x
  2. Step 2: Convert to fraction form
    96,584.91/147,759.19 = 147,759.19/x
  3. Step 3: Cross multiply
    96,584.91x = 147,759.19 × 147,759.19
  4. Step 4: Simplify right side
    96,584.91x = 21,832,777,490.66
  5. Step 5: Solve for x
    x = 21,832,777,490.66/96,584.91
  6. Step 6: Final answer
    x = 226,047.51

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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.