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Finding the Third Proportional to 103,994,544 and 225,345,120

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Solution

The third proportional to 103,994,544 and 225,345,120 is: 488,298,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,994,544 : 225,345,120 = 225,345,120 : x
  2. Step 2: Convert to fraction form
    103,994,544/225,345,120 = 225,345,120/x
  3. Step 3: Cross multiply
    103,994,544x = 225,345,120 × 225,345,120
  4. Step 4: Simplify right side
    103,994,544x = 50,780,423,107,814,400
  5. Step 5: Solve for x
    x = 50,780,423,107,814,400/103,994,544
  6. Step 6: Final answer
    x = 488,298,916.03

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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.