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Finding the Third Proportional to 129,352,181,152 and 281,481,677,162

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Solution

The third proportional to 129,352,181,152 and 281,481,677,162 is: 612,528,786,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,181,152 : 281,481,677,162 = 281,481,677,162 : x
  2. Step 2: Convert to fraction form
    129,352,181,152/281,481,677,162 = 281,481,677,162/x
  3. Step 3: Cross multiply
    129,352,181,152x = 281,481,677,162 × 281,481,677,162
  4. Step 4: Simplify right side
    129,352,181,152x = 79,231,934,577,932,396,134,400
  5. Step 5: Solve for x
    x = 79,231,934,577,932,396,134,400/129,352,181,152
  6. Step 6: Final answer
    x = 612,528,786,699.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.