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Finding the Third Proportional to 164,190,057 and 356,959,101

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Solution

The third proportional to 164,190,057 and 356,959,101 is: 776,050,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,190,057 : 356,959,101 = 356,959,101 : x
  2. Step 2: Convert to fraction form
    164,190,057/356,959,101 = 356,959,101/x
  3. Step 3: Cross multiply
    164,190,057x = 356,959,101 × 356,959,101
  4. Step 4: Simplify right side
    164,190,057x = 127,419,799,786,728,208
  5. Step 5: Solve for x
    x = 127,419,799,786,728,208/164,190,057
  6. Step 6: Final answer
    x = 776,050,645.91

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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.