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Finding the Third Proportional to 231,291,984 and 317,163,876

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Solution

The third proportional to 231,291,984 and 317,163,876 is: 434,917,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,291,984 : 317,163,876 = 317,163,876 : x
  2. Step 2: Convert to fraction form
    231,291,984/317,163,876 = 317,163,876/x
  3. Step 3: Cross multiply
    231,291,984x = 317,163,876 × 317,163,876
  4. Step 4: Simplify right side
    231,291,984x = 100,592,924,239,343,376
  5. Step 5: Solve for x
    x = 100,592,924,239,343,376/231,291,984
  6. Step 6: Final answer
    x = 434,917,468.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.