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Finding the Third Proportional to 231,800,064 and 491,234,880

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Solution

The third proportional to 231,800,064 and 491,234,880 is: 1,041,033,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,800,064 : 491,234,880 = 491,234,880 : x
  2. Step 2: Convert to fraction form
    231,800,064/491,234,880 = 491,234,880/x
  3. Step 3: Cross multiply
    231,800,064x = 491,234,880 × 491,234,880
  4. Step 4: Simplify right side
    231,800,064x = 241,311,707,328,614,400
  5. Step 5: Solve for x
    x = 241,311,707,328,614,400/231,800,064
  6. Step 6: Final answer
    x = 1,041,033,825.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.