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Finding the Third Proportional to 169,186,259,327 and 255,958,917,105

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Solution

The third proportional to 169,186,259,327 and 255,958,917,105 is: 387,235,745,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,186,259,327 : 255,958,917,105 = 255,958,917,105 : x
  2. Step 2: Convert to fraction form
    169,186,259,327/255,958,917,105 = 255,958,917,105/x
  3. Step 3: Cross multiply
    169,186,259,327x = 255,958,917,105 × 255,958,917,105
  4. Step 4: Simplify right side
    169,186,259,327x = 65,514,967,245,564,265,103,360
  5. Step 5: Solve for x
    x = 65,514,967,245,564,265,103,360/169,186,259,327
  6. Step 6: Final answer
    x = 387,235,745,421.49

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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.