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Finding the Third Proportional to 50,066,917,214 and 106,102,979,738

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Solution

The third proportional to 50,066,917,214 and 106,102,979,738 is: 224,855,911,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066,917,214 : 106,102,979,738 = 106,102,979,738 : x
  2. Step 2: Convert to fraction form
    50,066,917,214/106,102,979,738 = 106,102,979,738/x
  3. Step 3: Cross multiply
    50,066,917,214x = 106,102,979,738 × 106,102,979,738
  4. Step 4: Simplify right side
    50,066,917,214x = 11,257,842,309,282,438,053,888
  5. Step 5: Solve for x
    x = 11,257,842,309,282,438,053,888/50,066,917,214
  6. Step 6: Final answer
    x = 224,855,911,562.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.