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Finding the Third Proportional to 51,149,808 and 109,595,448

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Solution

The third proportional to 51,149,808 and 109,595,448 is: 234,823,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149,808 : 109,595,448 = 109,595,448 : x
  2. Step 2: Convert to fraction form
    51,149,808/109,595,448 = 109,595,448/x
  3. Step 3: Cross multiply
    51,149,808x = 109,595,448 × 109,595,448
  4. Step 4: Simplify right side
    51,149,808x = 12,011,162,222,320,704
  5. Step 5: Solve for x
    x = 12,011,162,222,320,704/51,149,808
  6. Step 6: Final answer
    x = 234,823,212.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.