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Finding the Third Proportional to 131,586,102 and 285,138,420

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Solution

The third proportional to 131,586,102 and 285,138,420 is: 617,876,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,102 : 285,138,420 = 285,138,420 : x
  2. Step 2: Convert to fraction form
    131,586,102/285,138,420 = 285,138,420/x
  3. Step 3: Cross multiply
    131,586,102x = 285,138,420 × 285,138,420
  4. Step 4: Simplify right side
    131,586,102x = 81,303,918,560,096,400
  5. Step 5: Solve for x
    x = 81,303,918,560,096,400/131,586,102
  6. Step 6: Final answer
    x = 617,876,183.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.