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Finding the Third Proportional to 54,538,299 and 121,183,335

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Solution

The third proportional to 54,538,299 and 121,183,335 is: 269,267,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538,299 : 121,183,335 = 121,183,335 : x
  2. Step 2: Convert to fraction form
    54,538,299/121,183,335 = 121,183,335/x
  3. Step 3: Cross multiply
    54,538,299x = 121,183,335 × 121,183,335
  4. Step 4: Simplify right side
    54,538,299x = 14,685,400,681,722,224
  5. Step 5: Solve for x
    x = 14,685,400,681,722,224/54,538,299
  6. Step 6: Final answer
    x = 269,267,669.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.