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Finding the Third Proportional to 114,888,972,326 and 251,420,508,632

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Solution

The third proportional to 114,888,972,326 and 251,420,508,632 is: 550,203,129,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,888,972,326 : 251,420,508,632 = 251,420,508,632 : x
  2. Step 2: Convert to fraction form
    114,888,972,326/251,420,508,632 = 251,420,508,632/x
  3. Step 3: Cross multiply
    114,888,972,326x = 251,420,508,632 × 251,420,508,632
  4. Step 4: Simplify right side
    114,888,972,326x = 63,212,272,160,773,584,715,776
  5. Step 5: Solve for x
    x = 63,212,272,160,773,584,715,776/114,888,972,326
  6. Step 6: Final answer
    x = 550,203,129,865.31

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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.