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Finding the Third Proportional to 75,481,827.75 and 165,096,015.75

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Solution

The third proportional to 75,481,827.75 and 165,096,015.75 is: 361,102,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481,827.75 : 165,096,015.75 = 165,096,015.75 : x
  2. Step 2: Convert to fraction form
    75,481,827.75/165,096,015.75 = 165,096,015.75/x
  3. Step 3: Cross multiply
    75,481,827.75x = 165,096,015.75 × 165,096,015.75
  4. Step 4: Simplify right side
    75,481,827.75x = 27,256,694,416,524,248
  5. Step 5: Solve for x
    x = 27,256,694,416,524,248/75,481,827.75
  6. Step 6: Final answer
    x = 361,102,734.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.