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Finding the Third Proportional to 123,086,223 and 194,903,901

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Solution

The third proportional to 123,086,223 and 194,903,901 is: 308,625,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,223 : 194,903,901 = 194,903,901 : x
  2. Step 2: Convert to fraction form
    123,086,223/194,903,901 = 194,903,901/x
  3. Step 3: Cross multiply
    123,086,223x = 194,903,901 × 194,903,901
  4. Step 4: Simplify right side
    123,086,223x = 37,987,530,625,017,800
  5. Step 5: Solve for x
    x = 37,987,530,625,017,800/123,086,223
  6. Step 6: Final answer
    x = 308,625,366.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.