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Finding the Third Proportional to 167,978,299.50 and 349,365,639.38

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Solution

The third proportional to 167,978,299.50 and 349,365,639.38 is: 726,619,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,978,299.50 : 349,365,639.38 = 349,365,639.38 : x
  2. Step 2: Convert to fraction form
    167,978,299.50/349,365,639.38 = 349,365,639.38/x
  3. Step 3: Cross multiply
    167,978,299.50x = 349,365,639.38 × 349,365,639.38
  4. Step 4: Simplify right side
    167,978,299.50x = 122,056,349,975,902,544
  5. Step 5: Solve for x
    x = 122,056,349,975,902,544/167,978,299.50
  6. Step 6: Final answer
    x = 726,619,749.93

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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.