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Finding the Third Proportional to 49,194,084 and 113,886,720

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Solution

The third proportional to 49,194,084 and 113,886,720 is: 263,653,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194,084 : 113,886,720 = 113,886,720 : x
  2. Step 2: Convert to fraction form
    49,194,084/113,886,720 = 113,886,720/x
  3. Step 3: Cross multiply
    49,194,084x = 113,886,720 × 113,886,720
  4. Step 4: Simplify right side
    49,194,084x = 12,970,184,992,358,400
  5. Step 5: Solve for x
    x = 12,970,184,992,358,400/49,194,084
  6. Step 6: Final answer
    x = 263,653,348.89

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Why These Related Problems?

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