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Finding the Third Proportional to 50,932,224 and 110,477,519

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Solution

The third proportional to 50,932,224 and 110,477,519 is: 239,637,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932,224 : 110,477,519 = 110,477,519 : x
  2. Step 2: Convert to fraction form
    50,932,224/110,477,519 = 110,477,519/x
  3. Step 3: Cross multiply
    50,932,224x = 110,477,519 × 110,477,519
  4. Step 4: Simplify right side
    50,932,224x = 12,205,282,204,395,360
  5. Step 5: Solve for x
    x = 12,205,282,204,395,360/50,932,224
  6. Step 6: Final answer
    x = 239,637,723.35

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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.