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Finding the Third Proportional to 96,951.94 and 144,844.88

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Solution

The third proportional to 96,951.94 and 144,844.88 is: 216,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,951.94 : 144,844.88 = 144,844.88 : x
  2. Step 2: Convert to fraction form
    96,951.94/144,844.88 = 144,844.88/x
  3. Step 3: Cross multiply
    96,951.94x = 144,844.88 × 144,844.88
  4. Step 4: Simplify right side
    96,951.94x = 20,980,037,813.77
  5. Step 5: Solve for x
    x = 20,980,037,813.77/96,951.94
  6. Step 6: Final answer
    x = 216,396.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.