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Finding the Third Proportional to 231,520,224 and 482,093,580

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Solution

The third proportional to 231,520,224 and 482,093,580 is: 1,003,861,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,520,224 : 482,093,580 = 482,093,580 : x
  2. Step 2: Convert to fraction form
    231,520,224/482,093,580 = 482,093,580/x
  3. Step 3: Cross multiply
    231,520,224x = 482,093,580 × 482,093,580
  4. Step 4: Simplify right side
    231,520,224x = 232,414,219,877,216,384
  5. Step 5: Solve for x
    x = 232,414,219,877,216,384/231,520,224
  6. Step 6: Final answer
    x = 1,003,861,415.91

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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.