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Finding the Third Proportional to 96,388.88 and 144,015.75

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Solution

The third proportional to 96,388.88 and 144,015.75 is: 215,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,388.88 : 144,015.75 = 144,015.75 : x
  2. Step 2: Convert to fraction form
    96,388.88/144,015.75 = 144,015.75/x
  3. Step 3: Cross multiply
    96,388.88x = 144,015.75 × 144,015.75
  4. Step 4: Simplify right side
    96,388.88x = 20,740,536,248.06
  5. Step 5: Solve for x
    x = 20,740,536,248.06/96,388.88
  6. Step 6: Final answer
    x = 215,175.62

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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.