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Finding the Third Proportional to 129,250,093,858 and 282,848,072,188

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Solution

The third proportional to 129,250,093,858 and 282,848,072,188 is: 618,978,521,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,250,093,858 : 282,848,072,188 = 282,848,072,188 : x
  2. Step 2: Convert to fraction form
    129,250,093,858/282,848,072,188 = 282,848,072,188/x
  3. Step 3: Cross multiply
    129,250,093,858x = 282,848,072,188 × 282,848,072,188
  4. Step 4: Simplify right side
    129,250,093,858x = 80,003,031,940,468,062,552,064
  5. Step 5: Solve for x
    x = 80,003,031,940,468,062,552,064/129,250,093,858
  6. Step 6: Final answer
    x = 618,978,521,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.