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Finding the Third Proportional to 73,097.44 and 151,940.81

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Solution

The third proportional to 73,097.44 and 151,940.81 is: 315,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.44 : 151,940.81 = 151,940.81 : x
  2. Step 2: Convert to fraction form
    73,097.44/151,940.81 = 151,940.81/x
  3. Step 3: Cross multiply
    73,097.44x = 151,940.81 × 151,940.81
  4. Step 4: Simplify right side
    73,097.44x = 23,086,010,503.16
  5. Step 5: Solve for x
    x = 23,086,010,503.16/73,097.44
  6. Step 6: Final answer
    x = 315,825.17

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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.