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Finding the Third Proportional to 114,888,972,319.50 and 251,420,508,613.50

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Solution

The third proportional to 114,888,972,319.50 and 251,420,508,613.50 is: 550,203,129,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,888,972,319.50 : 251,420,508,613.50 = 251,420,508,613.50 : x
  2. Step 2: Convert to fraction form
    114,888,972,319.50/251,420,508,613.50 = 251,420,508,613.50/x
  3. Step 3: Cross multiply
    114,888,972,319.50x = 251,420,508,613.50 × 251,420,508,613.50
  4. Step 4: Simplify right side
    114,888,972,319.50x = 63,212,272,151,471,029,485,568
  5. Step 5: Solve for x
    x = 63,212,272,151,471,029,485,568/114,888,972,319.50
  6. Step 6: Final answer
    x = 550,203,129,815.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.