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Finding the Third Proportional to 182,181,307 and 393,392,364

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Solution

The third proportional to 182,181,307 and 393,392,364 is: 849,469,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,181,307 : 393,392,364 = 393,392,364 : x
  2. Step 2: Convert to fraction form
    182,181,307/393,392,364 = 393,392,364/x
  3. Step 3: Cross multiply
    182,181,307x = 393,392,364 × 393,392,364
  4. Step 4: Simplify right side
    182,181,307x = 154,757,552,053,508,480
  5. Step 5: Solve for x
    x = 154,757,552,053,508,480/182,181,307
  6. Step 6: Final answer
    x = 849,469,984.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.