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Finding the Third Proportional to 136,128,048 and 298,705,728

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Solution

The third proportional to 136,128,048 and 298,705,728 is: 655,449,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128,048 : 298,705,728 = 298,705,728 : x
  2. Step 2: Convert to fraction form
    136,128,048/298,705,728 = 298,705,728/x
  3. Step 3: Cross multiply
    136,128,048x = 298,705,728 × 298,705,728
  4. Step 4: Simplify right side
    136,128,048x = 89,225,111,940,009,984
  5. Step 5: Solve for x
    x = 89,225,111,940,009,984/136,128,048
  6. Step 6: Final answer
    x = 655,449,874.22

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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.