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Finding the Third Proportional to 260,248,151 and 346,958,818

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Solution

The third proportional to 260,248,151 and 346,958,818 is: 462,560,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,248,151 : 346,958,818 = 346,958,818 : x
  2. Step 2: Convert to fraction form
    260,248,151/346,958,818 = 346,958,818/x
  3. Step 3: Cross multiply
    260,248,151x = 346,958,818 × 346,958,818
  4. Step 4: Simplify right side
    260,248,151x = 120,380,421,387,957,120
  5. Step 5: Solve for x
    x = 120,380,421,387,957,120/260,248,151
  6. Step 6: Final answer
    x = 462,560,140.87

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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.