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Finding the Third Proportional to 53,911,986 and 116,304,912

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Solution

The third proportional to 53,911,986 and 116,304,912 is: 250,905,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911,986 : 116,304,912 = 116,304,912 : x
  2. Step 2: Convert to fraction form
    53,911,986/116,304,912 = 116,304,912/x
  3. Step 3: Cross multiply
    53,911,986x = 116,304,912 × 116,304,912
  4. Step 4: Simplify right side
    53,911,986x = 13,526,832,555,327,744
  5. Step 5: Solve for x
    x = 13,526,832,555,327,744/53,911,986
  6. Step 6: Final answer
    x = 250,905,847.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.