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Finding the Third Proportional to 169,854,906,738 and 263,732,123,614

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Solution

The third proportional to 169,854,906,738 and 263,732,123,614 is: 409,494,399,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,854,906,738 : 263,732,123,614 = 263,732,123,614 : x
  2. Step 2: Convert to fraction form
    169,854,906,738/263,732,123,614 = 263,732,123,614/x
  3. Step 3: Cross multiply
    169,854,906,738x = 263,732,123,614 × 263,732,123,614
  4. Step 4: Simplify right side
    169,854,906,738x = 69,554,633,025,950,178,082,816
  5. Step 5: Solve for x
    x = 69,554,633,025,950,178,082,816/169,854,906,738
  6. Step 6: Final answer
    x = 409,494,399,436.09

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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.