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Finding the Third Proportional to 89,346,713 and 193,529,578

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Solution

The third proportional to 89,346,713 and 193,529,578 is: 419,195,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,346,713 : 193,529,578 = 193,529,578 : x
  2. Step 2: Convert to fraction form
    89,346,713/193,529,578 = 193,529,578/x
  3. Step 3: Cross multiply
    89,346,713x = 193,529,578 × 193,529,578
  4. Step 4: Simplify right side
    89,346,713x = 37,453,697,560,858,080
  5. Step 5: Solve for x
    x = 37,453,697,560,858,080/89,346,713
  6. Step 6: Final answer
    x = 419,195,024.68

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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.