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Finding the Third Proportional to 222,761,701.97 and 463,855,749.82

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Solution

The third proportional to 222,761,701.97 and 463,855,749.82 is: 965,884,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,761,701.97 : 463,855,749.82 = 463,855,749.82 : x
  2. Step 2: Convert to fraction form
    222,761,701.97/463,855,749.82 = 463,855,749.82/x
  3. Step 3: Cross multiply
    222,761,701.97x = 463,855,749.82 × 463,855,749.82
  4. Step 4: Simplify right side
    222,761,701.97x = 215,162,156,641,352,736
  5. Step 5: Solve for x
    x = 215,162,156,641,352,736/222,761,701.97
  6. Step 6: Final answer
    x = 965,884,865.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.