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Finding the Third Proportional to 53,654,977 and 116,223,589

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Solution

The third proportional to 53,654,977 and 116,223,589 is: 251,755,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654,977 : 116,223,589 = 116,223,589 : x
  2. Step 2: Convert to fraction form
    53,654,977/116,223,589 = 116,223,589/x
  3. Step 3: Cross multiply
    53,654,977x = 116,223,589 × 116,223,589
  4. Step 4: Simplify right side
    53,654,977x = 13,507,922,640,040,920
  5. Step 5: Solve for x
    x = 13,507,922,640,040,920/53,654,977
  6. Step 6: Final answer
    x = 251,755,259.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.