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Finding the Third Proportional to 103,975,927 and 225,290,039

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Solution

The third proportional to 103,975,927 and 225,290,039 is: 488,147,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975,927 : 225,290,039 = 225,290,039 : x
  2. Step 2: Convert to fraction form
    103,975,927/225,290,039 = 225,290,039/x
  3. Step 3: Cross multiply
    103,975,927x = 225,290,039 × 225,290,039
  4. Step 4: Simplify right side
    103,975,927x = 50,755,601,672,621,520
  5. Step 5: Solve for x
    x = 50,755,601,672,621,520/103,975,927
  6. Step 6: Final answer
    x = 488,147,623.56

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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.