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Finding the Third Proportional to 115,558,588,080 and 234,366,420,512

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Solution

The third proportional to 115,558,588,080 and 234,366,420,512 is: 475,322,691,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,588,080 : 234,366,420,512 = 234,366,420,512 : x
  2. Step 2: Convert to fraction form
    115,558,588,080/234,366,420,512 = 234,366,420,512/x
  3. Step 3: Cross multiply
    115,558,588,080x = 234,366,420,512 × 234,366,420,512
  4. Step 4: Simplify right side
    115,558,588,080x = 54,927,619,063,607,612,932,096
  5. Step 5: Solve for x
    x = 54,927,619,063,607,612,932,096/115,558,588,080
  6. Step 6: Final answer
    x = 475,322,691,080.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.