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Finding the Third Proportional to 136,433,263,036 and 304,236,954,674

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Solution

The third proportional to 136,433,263,036 and 304,236,954,674 is: 678,427,844,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,433,263,036 : 304,236,954,674 = 304,236,954,674 : x
  2. Step 2: Convert to fraction form
    136,433,263,036/304,236,954,674 = 304,236,954,674/x
  3. Step 3: Cross multiply
    136,433,263,036x = 304,236,954,674 × 304,236,954,674
  4. Step 4: Simplify right side
    136,433,263,036x = 92,560,124,589,309,536,763,904
  5. Step 5: Solve for x
    x = 92,560,124,589,309,536,763,904/136,433,263,036
  6. Step 6: Final answer
    x = 678,427,844,717.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.