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Finding the Third Proportional to 164,190,059 and 356,959,105

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Solution

The third proportional to 164,190,059 and 356,959,105 is: 776,050,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,190,059 : 356,959,105 = 356,959,105 : x
  2. Step 2: Convert to fraction form
    164,190,059/356,959,105 = 356,959,105/x
  3. Step 3: Cross multiply
    164,190,059x = 356,959,105 × 356,959,105
  4. Step 4: Simplify right side
    164,190,059x = 127,419,802,642,401,024
  5. Step 5: Solve for x
    x = 127,419,802,642,401,024/164,190,059
  6. Step 6: Final answer
    x = 776,050,653.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.