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Finding the Third Proportional to 164,194,486 and 356,967,932

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Solution

The third proportional to 164,194,486 and 356,967,932 is: 776,068,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194,486 : 356,967,932 = 356,967,932 : x
  2. Step 2: Convert to fraction form
    164,194,486/356,967,932 = 356,967,932/x
  3. Step 3: Cross multiply
    164,194,486x = 356,967,932 × 356,967,932
  4. Step 4: Simplify right side
    164,194,486x = 127,426,104,476,356,624
  5. Step 5: Solve for x
    x = 127,426,104,476,356,624/164,194,486
  6. Step 6: Final answer
    x = 776,068,110.33

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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.