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Finding the Third Proportional to 103,477,089 and 225,324,990

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Solution

The third proportional to 103,477,089 and 225,324,990 is: 490,653,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477,089 : 225,324,990 = 225,324,990 : x
  2. Step 2: Convert to fraction form
    103,477,089/225,324,990 = 225,324,990/x
  3. Step 3: Cross multiply
    103,477,089x = 225,324,990 × 225,324,990
  4. Step 4: Simplify right side
    103,477,089x = 50,771,351,118,500,096
  5. Step 5: Solve for x
    x = 50,771,351,118,500,096/103,477,089
  6. Step 6: Final answer
    x = 490,653,067.35

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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.