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Finding the Third Proportional to 164,194,496 and 356,967,936

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Solution

The third proportional to 164,194,496 and 356,967,936 is: 776,068,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194,496 : 356,967,936 = 356,967,936 : x
  2. Step 2: Convert to fraction form
    164,194,496/356,967,936 = 356,967,936/x
  3. Step 3: Cross multiply
    164,194,496x = 356,967,936 × 356,967,936
  4. Step 4: Simplify right side
    164,194,496x = 127,426,107,332,100,096
  5. Step 5: Solve for x
    x = 127,426,107,332,100,096/164,194,496
  6. Step 6: Final answer
    x = 776,068,080.46

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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.