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Finding the Third Proportional to 167,978,293.88 and 349,365,630.38

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Solution

The third proportional to 167,978,293.88 and 349,365,630.38 is: 726,619,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,978,293.88 : 349,365,630.38 = 349,365,630.38 : x
  2. Step 2: Convert to fraction form
    167,978,293.88/349,365,630.38 = 349,365,630.38/x
  3. Step 3: Cross multiply
    167,978,293.88x = 349,365,630.38 × 349,365,630.38
  4. Step 4: Simplify right side
    167,978,293.88x = 122,056,343,687,321,120
  5. Step 5: Solve for x
    x = 122,056,343,687,321,120/167,978,293.88
  6. Step 6: Final answer
    x = 726,619,736.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.