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Finding the Third Proportional to 49,301,968 and 109,933,856

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Solution

The third proportional to 49,301,968 and 109,933,856 is: 245,131,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301,968 : 109,933,856 = 109,933,856 : x
  2. Step 2: Convert to fraction form
    49,301,968/109,933,856 = 109,933,856/x
  3. Step 3: Cross multiply
    49,301,968x = 109,933,856 × 109,933,856
  4. Step 4: Simplify right side
    49,301,968x = 12,085,452,695,028,736
  5. Step 5: Solve for x
    x = 12,085,452,695,028,736/49,301,968
  6. Step 6: Final answer
    x = 245,131,242.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.