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Finding the Third Proportional to 50,066,917,211 and 106,102,979,734

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Solution

The third proportional to 50,066,917,211 and 106,102,979,734 is: 224,855,911,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066,917,211 : 106,102,979,734 = 106,102,979,734 : x
  2. Step 2: Convert to fraction form
    50,066,917,211/106,102,979,734 = 106,102,979,734/x
  3. Step 3: Cross multiply
    50,066,917,211x = 106,102,979,734 × 106,102,979,734
  4. Step 4: Simplify right side
    50,066,917,211x = 11,257,842,308,433,613,684,736
  5. Step 5: Solve for x
    x = 11,257,842,308,433,613,684,736/50,066,917,211
  6. Step 6: Final answer
    x = 224,855,911,559.10

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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.