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Finding the Third Proportional to 159,957,782,916 and 343,988,662,152

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Solution

The third proportional to 159,957,782,916 and 343,988,662,152 is: 739,746,435,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957,782,916 : 343,988,662,152 = 343,988,662,152 : x
  2. Step 2: Convert to fraction form
    159,957,782,916/343,988,662,152 = 343,988,662,152/x
  3. Step 3: Cross multiply
    159,957,782,916x = 343,988,662,152 × 343,988,662,152
  4. Step 4: Simplify right side
    159,957,782,916x = 118,328,199,689,122,802,040,832
  5. Step 5: Solve for x
    x = 118,328,199,689,122,802,040,832/159,957,782,916
  6. Step 6: Final answer
    x = 739,746,435,165.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.