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Finding the Third Proportional to 167,164,613,415 and 255,608,677,296

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Solution

The third proportional to 167,164,613,415 and 255,608,677,296 is: 390,847,049,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,164,613,415 : 255,608,677,296 = 255,608,677,296 : x
  2. Step 2: Convert to fraction form
    167,164,613,415/255,608,677,296 = 255,608,677,296/x
  3. Step 3: Cross multiply
    167,164,613,415x = 255,608,677,296 × 255,608,677,296
  4. Step 4: Simplify right side
    167,164,613,415x = 65,335,795,909,010,669,961,216
  5. Step 5: Solve for x
    x = 65,335,795,909,010,669,961,216/167,164,613,415
  6. Step 6: Final answer
    x = 390,847,049,350.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.