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Finding the Third Proportional to 49,743,212 and 107,044,697

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Solution

The third proportional to 49,743,212 and 107,044,697 is: 230,354,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,743,212 : 107,044,697 = 107,044,697 : x
  2. Step 2: Convert to fraction form
    49,743,212/107,044,697 = 107,044,697/x
  3. Step 3: Cross multiply
    49,743,212x = 107,044,697 × 107,044,697
  4. Step 4: Simplify right side
    49,743,212x = 11,458,567,155,821,808
  5. Step 5: Solve for x
    x = 11,458,567,155,821,808/49,743,212
  6. Step 6: Final answer
    x = 230,354,387.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.