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Finding the Third Proportional to 103,474,022 and 225,318,842

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Solution

The third proportional to 103,474,022 and 225,318,842 is: 490,640,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474,022 : 225,318,842 = 225,318,842 : x
  2. Step 2: Convert to fraction form
    103,474,022/225,318,842 = 225,318,842/x
  3. Step 3: Cross multiply
    103,474,022x = 225,318,842 × 225,318,842
  4. Step 4: Simplify right side
    103,474,022x = 50,768,580,560,220,960
  5. Step 5: Solve for x
    x = 50,768,580,560,220,960/103,474,022
  6. Step 6: Final answer
    x = 490,640,835.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.