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Finding the Third Proportional to 294,606,676.97 and 443,139,997.92

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Solution

The third proportional to 294,606,676.97 and 443,139,997.92 is: 666,560,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,606,676.97 : 443,139,997.92 = 443,139,997.92 : x
  2. Step 2: Convert to fraction form
    294,606,676.97/443,139,997.92 = 443,139,997.92/x
  3. Step 3: Cross multiply
    294,606,676.97x = 443,139,997.92 × 443,139,997.92
  4. Step 4: Simplify right side
    294,606,676.97x = 196,373,057,758,203,808
  5. Step 5: Solve for x
    x = 196,373,057,758,203,808/294,606,676.97
  6. Step 6: Final answer
    x = 666,560,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.