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Finding the Third Proportional to 100,674,770 and 155,462,861

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Solution

The third proportional to 100,674,770 and 155,462,861 is: 240,067,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674,770 : 155,462,861 = 155,462,861 : x
  2. Step 2: Convert to fraction form
    100,674,770/155,462,861 = 155,462,861/x
  3. Step 3: Cross multiply
    100,674,770x = 155,462,861 × 155,462,861
  4. Step 4: Simplify right side
    100,674,770x = 24,168,701,150,305,320
  5. Step 5: Solve for x
    x = 24,168,701,150,305,320/100,674,770
  6. Step 6: Final answer
    x = 240,067,110.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.