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Finding the Third Proportional to 258,261,708,065.62 and 559,498,076,447.25

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Solution

The third proportional to 258,261,708,065.62 and 559,498,076,447.25 is: 1,212,096,442,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,261,708,065.62 : 559,498,076,447.25 = 559,498,076,447.25 : x
  2. Step 2: Convert to fraction form
    258,261,708,065.62/559,498,076,447.25 = 559,498,076,447.25/x
  3. Step 3: Cross multiply
    258,261,708,065.62x = 559,498,076,447.25 × 559,498,076,447.25
  4. Step 4: Simplify right side
    258,261,708,065.62x = 313,038,097,548,172,821,790,720
  5. Step 5: Solve for x
    x = 313,038,097,548,172,821,790,720/258,261,708,065.62
  6. Step 6: Final answer
    x = 1,212,096,442,375.56

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