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Finding the Third Proportional to 156,892,293 and 342,034,027

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Solution

The third proportional to 156,892,293 and 342,034,027 is: 745,653,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892,293 : 342,034,027 = 342,034,027 : x
  2. Step 2: Convert to fraction form
    156,892,293/342,034,027 = 342,034,027/x
  3. Step 3: Cross multiply
    156,892,293x = 342,034,027 × 342,034,027
  4. Step 4: Simplify right side
    156,892,293x = 116,987,275,625,836,736
  5. Step 5: Solve for x
    x = 116,987,275,625,836,736/156,892,293
  6. Step 6: Final answer
    x = 745,653,424.96

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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.