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Finding the Third Proportional to 49,194,100 and 113,886,760

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Solution

The third proportional to 49,194,100 and 113,886,760 is: 263,653,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194,100 : 113,886,760 = 113,886,760 : x
  2. Step 2: Convert to fraction form
    49,194,100/113,886,760 = 113,886,760/x
  3. Step 3: Cross multiply
    49,194,100x = 113,886,760 × 113,886,760
  4. Step 4: Simplify right side
    49,194,100x = 12,970,194,103,297,600
  5. Step 5: Solve for x
    x = 12,970,194,103,297,600/49,194,100
  6. Step 6: Final answer
    x = 263,653,448.35

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.