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Finding the Third Proportional to 95,525,914.50 and 204,682,311

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Solution

The third proportional to 95,525,914.50 and 204,682,311 is: 438,570,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,525,914.50 : 204,682,311 = 204,682,311 : x
  2. Step 2: Convert to fraction form
    95,525,914.50/204,682,311 = 204,682,311/x
  3. Step 3: Cross multiply
    95,525,914.50x = 204,682,311 × 204,682,311
  4. Step 4: Simplify right side
    95,525,914.50x = 41,894,848,436,300,720
  5. Step 5: Solve for x
    x = 41,894,848,436,300,720/95,525,914.50
  6. Step 6: Final answer
    x = 438,570,503.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.