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Finding the Third Proportional to 75,482,105 and 165,096,604

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Solution

The third proportional to 75,482,105 and 165,096,604 is: 361,103,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,482,105 : 165,096,604 = 165,096,604 : x
  2. Step 2: Convert to fraction form
    75,482,105/165,096,604 = 165,096,604/x
  3. Step 3: Cross multiply
    75,482,105x = 165,096,604 × 165,096,604
  4. Step 4: Simplify right side
    75,482,105x = 27,256,888,652,332,816
  5. Step 5: Solve for x
    x = 27,256,888,652,332,816/75,482,105
  6. Step 6: Final answer
    x = 361,103,981.56

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Why These Related Problems?

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