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Finding the Third Proportional to 169,186,259,314 and 255,958,917,086

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Solution

The third proportional to 169,186,259,314 and 255,958,917,086 is: 387,235,745,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,186,259,314 : 255,958,917,086 = 255,958,917,086 : x
  2. Step 2: Convert to fraction form
    169,186,259,314/255,958,917,086 = 255,958,917,086/x
  3. Step 3: Cross multiply
    169,186,259,314x = 255,958,917,086 × 255,958,917,086
  4. Step 4: Simplify right side
    169,186,259,314x = 65,514,967,235,837,825,122,304
  5. Step 5: Solve for x
    x = 65,514,967,235,837,825,122,304/169,186,259,314
  6. Step 6: Final answer
    x = 387,235,745,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.