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Finding the Third Proportional to 54,303,510,351.94 and 116,906,287,507.88

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Solution

The third proportional to 54,303,510,351.94 and 116,906,287,507.88 is: 251,679,494,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303,510,351.94 : 116,906,287,507.88 = 116,906,287,507.88 : x
  2. Step 2: Convert to fraction form
    54,303,510,351.94/116,906,287,507.88 = 116,906,287,507.88/x
  3. Step 3: Cross multiply
    54,303,510,351.94x = 116,906,287,507.88 × 116,906,287,507.88
  4. Step 4: Simplify right side
    54,303,510,351.94x = 13,667,080,058,875,100,004,352
  5. Step 5: Solve for x
    x = 13,667,080,058,875,100,004,352/54,303,510,351.94
  6. Step 6: Final answer
    x = 251,679,494,940.55

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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.