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Finding the Third Proportional to 110,396,451 and 240,844,948

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Solution

The third proportional to 110,396,451 and 240,844,948 is: 525,436,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,396,451 : 240,844,948 = 240,844,948 : x
  2. Step 2: Convert to fraction form
    110,396,451/240,844,948 = 240,844,948/x
  3. Step 3: Cross multiply
    110,396,451x = 240,844,948 × 240,844,948
  4. Step 4: Simplify right side
    110,396,451x = 58,006,288,977,122,704
  5. Step 5: Solve for x
    x = 58,006,288,977,122,704/110,396,451
  6. Step 6: Final answer
    x = 525,436,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.