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Finding the Third Proportional to 89,687,358 and 194,250,366

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Solution

The third proportional to 89,687,358 and 194,250,366 is: 420,719,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,687,358 : 194,250,366 = 194,250,366 : x
  2. Step 2: Convert to fraction form
    89,687,358/194,250,366 = 194,250,366/x
  3. Step 3: Cross multiply
    89,687,358x = 194,250,366 × 194,250,366
  4. Step 4: Simplify right side
    89,687,358x = 37,733,204,691,133,952
  5. Step 5: Solve for x
    x = 37,733,204,691,133,952/89,687,358
  6. Step 6: Final answer
    x = 420,719,324.69

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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.