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Finding the Third Proportional to 121,004,849 and 182,947,899

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Solution

The third proportional to 121,004,849 and 182,947,899 is: 276,599,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,004,849 : 182,947,899 = 182,947,899 : x
  2. Step 2: Convert to fraction form
    121,004,849/182,947,899 = 182,947,899/x
  3. Step 3: Cross multiply
    121,004,849x = 182,947,899 × 182,947,899
  4. Step 4: Simplify right side
    121,004,849x = 33,469,933,748,514,200
  5. Step 5: Solve for x
    x = 33,469,933,748,514,200/121,004,849
  6. Step 6: Final answer
    x = 276,599,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.