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Finding the Third Proportional to 231,520,292 and 482,093,728

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Solution

The third proportional to 231,520,292 and 482,093,728 is: 1,003,861,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,520,292 : 482,093,728 = 482,093,728 : x
  2. Step 2: Convert to fraction form
    231,520,292/482,093,728 = 482,093,728/x
  3. Step 3: Cross multiply
    231,520,292x = 482,093,728 × 482,093,728
  4. Step 4: Simplify right side
    231,520,292x = 232,414,362,576,937,984
  5. Step 5: Solve for x
    x = 232,414,362,576,937,984/231,520,292
  6. Step 6: Final answer
    x = 1,003,861,737.43

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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.