Home / 149,858,342,022.75-323,601,504,770.45

Finding the Third Proportional to 149,858,342,022.75 and 323,601,504,770.45

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Solution

The third proportional to 149,858,342,022.75 and 323,601,504,770.45 is: 698,779,477,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,858,342,022.75 : 323,601,504,770.45 = 323,601,504,770.45 : x
  2. Step 2: Convert to fraction form
    149,858,342,022.75/323,601,504,770.45 = 323,601,504,770.45/x
  3. Step 3: Cross multiply
    149,858,342,022.75x = 323,601,504,770.45 × 323,601,504,770.45
  4. Step 4: Simplify right side
    149,858,342,022.75x = 104,717,933,889,699,581,001,728
  5. Step 5: Solve for x
    x = 104,717,933,889,699,581,001,728/149,858,342,022.75
  6. Step 6: Final answer
    x = 698,779,477,179.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.