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Finding the Third Proportional to 165,599,049,035 and 270,379,708,145

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Solution

The third proportional to 165,599,049,035 and 270,379,708,145 is: 441,458,975,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,599,049,035 : 270,379,708,145 = 270,379,708,145 : x
  2. Step 2: Convert to fraction form
    165,599,049,035/270,379,708,145 = 270,379,708,145/x
  3. Step 3: Cross multiply
    165,599,049,035x = 270,379,708,145 × 270,379,708,145
  4. Step 4: Simplify right side
    165,599,049,035x = 73,105,186,576,575,378,751,488
  5. Step 5: Solve for x
    x = 73,105,186,576,575,378,751,488/165,599,049,035
  6. Step 6: Final answer
    x = 441,458,975,776.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.