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Finding the Third Proportional to 54,729,999 and 118,986,327

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Solution

The third proportional to 54,729,999 and 118,986,327 is: 258,683,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729,999 : 118,986,327 = 118,986,327 : x
  2. Step 2: Convert to fraction form
    54,729,999/118,986,327 = 118,986,327/x
  3. Step 3: Cross multiply
    54,729,999x = 118,986,327 × 118,986,327
  4. Step 4: Simplify right side
    54,729,999x = 14,157,746,012,950,928
  5. Step 5: Solve for x
    x = 14,157,746,012,950,928/54,729,999
  6. Step 6: Final answer
    x = 258,683,469.24

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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.