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Finding the Third Proportional to 114,888,972,317 and 251,420,508,610

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Solution

The third proportional to 114,888,972,317 and 251,420,508,610 is: 550,203,129,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,888,972,317 : 251,420,508,610 = 251,420,508,610 : x
  2. Step 2: Convert to fraction form
    114,888,972,317/251,420,508,610 = 251,420,508,610/x
  3. Step 3: Cross multiply
    114,888,972,317x = 251,420,508,610 × 251,420,508,610
  4. Step 4: Simplify right side
    114,888,972,317x = 63,212,272,149,711,082,749,952
  5. Step 5: Solve for x
    x = 63,212,272,149,711,082,749,952/114,888,972,317
  6. Step 6: Final answer
    x = 550,203,129,812.12

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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.