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Finding the Third Proportional to 136,206,048 and 298,902,336

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Solution

The third proportional to 136,206,048 and 298,902,336 is: 655,937,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,206,048 : 298,902,336 = 298,902,336 : x
  2. Step 2: Convert to fraction form
    136,206,048/298,902,336 = 298,902,336/x
  3. Step 3: Cross multiply
    136,206,048x = 298,902,336 × 298,902,336
  4. Step 4: Simplify right side
    136,206,048x = 89,342,606,466,256,896
  5. Step 5: Solve for x
    x = 89,342,606,466,256,896/136,206,048
  6. Step 6: Final answer
    x = 655,937,146.54

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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.