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Finding the Third Proportional to 146,789,910 and 233,202,754.13

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Solution

The third proportional to 146,789,910 and 233,202,754.13 is: 370,485,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,789,910 : 233,202,754.13 = 233,202,754.13 : x
  2. Step 2: Convert to fraction form
    146,789,910/233,202,754.13 = 233,202,754.13/x
  3. Step 3: Cross multiply
    146,789,910x = 233,202,754.13 × 233,202,754.13
  4. Step 4: Simplify right side
    146,789,910x = 54,383,524,531,485,208
  5. Step 5: Solve for x
    x = 54,383,524,531,485,208/146,789,910
  6. Step 6: Final answer
    x = 370,485,440.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.