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Finding the Third Proportional to 82,250,057 and 127,767,777

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Solution

The third proportional to 82,250,057 and 127,767,777 is: 198,475,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250,057 : 127,767,777 = 127,767,777 : x
  2. Step 2: Convert to fraction form
    82,250,057/127,767,777 = 127,767,777/x
  3. Step 3: Cross multiply
    82,250,057x = 127,767,777 × 127,767,777
  4. Step 4: Simplify right side
    82,250,057x = 16,324,604,839,521,728
  5. Step 5: Solve for x
    x = 16,324,604,839,521,728/82,250,057
  6. Step 6: Final answer
    x = 198,475,301.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.