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Finding the Third Proportional to 54,855,231 and 117,965,982

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Solution

The third proportional to 54,855,231 and 117,965,982 is: 253,685,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855,231 : 117,965,982 = 117,965,982 : x
  2. Step 2: Convert to fraction form
    54,855,231/117,965,982 = 117,965,982/x
  3. Step 3: Cross multiply
    54,855,231x = 117,965,982 × 117,965,982
  4. Step 4: Simplify right side
    54,855,231x = 13,915,972,909,224,324
  5. Step 5: Solve for x
    x = 13,915,972,909,224,324/54,855,231
  6. Step 6: Final answer
    x = 253,685,430.82

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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.