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Finding the Third Proportional to 114,000,198 and 239,197,836

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Solution

The third proportional to 114,000,198 and 239,197,836 is: 501,890,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000,198 : 239,197,836 = 239,197,836 : x
  2. Step 2: Convert to fraction form
    114,000,198/239,197,836 = 239,197,836/x
  3. Step 3: Cross multiply
    114,000,198x = 239,197,836 × 239,197,836
  4. Step 4: Simplify right side
    114,000,198x = 57,215,604,747,082,896
  5. Step 5: Solve for x
    x = 57,215,604,747,082,896/114,000,198
  6. Step 6: Final answer
    x = 501,890,398.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.