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Finding the Third Proportional to 113,967,216 and 231,958,755

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Solution

The third proportional to 113,967,216 and 231,958,755 is: 472,108,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967,216 : 231,958,755 = 231,958,755 : x
  2. Step 2: Convert to fraction form
    113,967,216/231,958,755 = 231,958,755/x
  3. Step 3: Cross multiply
    113,967,216x = 231,958,755 × 231,958,755
  4. Step 4: Simplify right side
    113,967,216x = 53,804,864,021,150,024
  5. Step 5: Solve for x
    x = 53,804,864,021,150,024/113,967,216
  6. Step 6: Final answer
    x = 472,108,259.81

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.