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Finding the Third Proportional to 148,096,194 and 318,950,670

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Solution

The third proportional to 148,096,194 and 318,950,670 is: 686,915,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,096,194 : 318,950,670 = 318,950,670 : x
  2. Step 2: Convert to fraction form
    148,096,194/318,950,670 = 318,950,670/x
  3. Step 3: Cross multiply
    148,096,194x = 318,950,670 × 318,950,670
  4. Step 4: Simplify right side
    148,096,194x = 101,729,529,893,448,896
  5. Step 5: Solve for x
    x = 101,729,529,893,448,896/148,096,194
  6. Step 6: Final answer
    x = 686,915,221.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.