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Finding the Third Proportional to 113,197,968,212 and 242,297,560,936

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Solution

The third proportional to 113,197,968,212 and 242,297,560,936 is: 518,632,171,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197,968,212 : 242,297,560,936 = 242,297,560,936 : x
  2. Step 2: Convert to fraction form
    113,197,968,212/242,297,560,936 = 242,297,560,936/x
  3. Step 3: Cross multiply
    113,197,968,212x = 242,297,560,936 × 242,297,560,936
  4. Step 4: Simplify right side
    113,197,968,212x = 58,708,108,035,534,629,109,760
  5. Step 5: Solve for x
    x = 58,708,108,035,534,629,109,760/113,197,968,212
  6. Step 6: Final answer
    x = 518,632,171,255.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.