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Finding the Third Proportional to 100,674,762 and 155,462,849

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Solution

The third proportional to 100,674,762 and 155,462,849 is: 240,067,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674,762 : 155,462,849 = 155,462,849 : x
  2. Step 2: Convert to fraction form
    100,674,762/155,462,849 = 155,462,849/x
  3. Step 3: Cross multiply
    100,674,762x = 155,462,849 × 155,462,849
  4. Step 4: Simplify right side
    100,674,762x = 24,168,697,419,196,800
  5. Step 5: Solve for x
    x = 24,168,697,419,196,800/100,674,762
  6. Step 6: Final answer
    x = 240,067,092.68

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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.