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Finding the Third Proportional to 79,821,198.75 and 172,101,735.75

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Solution

The third proportional to 79,821,198.75 and 172,101,735.75 is: 371,066,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821,198.75 : 172,101,735.75 = 172,101,735.75 : x
  2. Step 2: Convert to fraction form
    79,821,198.75/172,101,735.75 = 172,101,735.75/x
  3. Step 3: Cross multiply
    79,821,198.75x = 172,101,735.75 × 172,101,735.75
  4. Step 4: Simplify right side
    79,821,198.75x = 29,619,007,448,162,828
  5. Step 5: Solve for x
    x = 29,619,007,448,162,828/79,821,198.75
  6. Step 6: Final answer
    x = 371,066,933.50

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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.