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Finding the Third Proportional to 260,248,153 and 346,958,821

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Solution

The third proportional to 260,248,153 and 346,958,821 is: 462,560,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,248,153 : 346,958,821 = 346,958,821 : x
  2. Step 2: Convert to fraction form
    260,248,153/346,958,821 = 346,958,821/x
  3. Step 3: Cross multiply
    260,248,153x = 346,958,821 × 346,958,821
  4. Step 4: Simplify right side
    260,248,153x = 120,380,423,469,710,048
  5. Step 5: Solve for x
    x = 120,380,423,469,710,048/260,248,153
  6. Step 6: Final answer
    x = 462,560,145.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.