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Finding the Third Proportional to 103,975,887.94 and 225,289,947.38

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Solution

The third proportional to 103,975,887.94 and 225,289,947.38 is: 488,147,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975,887.94 : 225,289,947.38 = 225,289,947.38 : x
  2. Step 2: Convert to fraction form
    103,975,887.94/225,289,947.38 = 225,289,947.38/x
  3. Step 3: Cross multiply
    103,975,887.94x = 225,289,947.38 × 225,289,947.38
  4. Step 4: Simplify right side
    103,975,887.94x = 50,755,560,388,230,272
  5. Step 5: Solve for x
    x = 50,755,560,388,230,272/103,975,887.94
  6. Step 6: Final answer
    x = 488,147,409.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.