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Finding the Third Proportional to 231,520,296 and 482,093,730

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Solution

The third proportional to 231,520,296 and 482,093,730 is: 1,003,861,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,520,296 : 482,093,730 = 482,093,730 : x
  2. Step 2: Convert to fraction form
    231,520,296/482,093,730 = 482,093,730/x
  3. Step 3: Cross multiply
    231,520,296x = 482,093,730 × 482,093,730
  4. Step 4: Simplify right side
    231,520,296x = 232,414,364,505,312,896
  5. Step 5: Solve for x
    x = 232,414,364,505,312,896/231,520,296
  6. Step 6: Final answer
    x = 1,003,861,728.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.