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Finding the Third Proportional to 187,150,485 and 417,332,868

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Solution

The third proportional to 187,150,485 and 417,332,868 is: 930,623,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150,485 : 417,332,868 = 417,332,868 : x
  2. Step 2: Convert to fraction form
    187,150,485/417,332,868 = 417,332,868/x
  3. Step 3: Cross multiply
    187,150,485x = 417,332,868 × 417,332,868
  4. Step 4: Simplify right side
    187,150,485x = 174,166,722,713,105,408
  5. Step 5: Solve for x
    x = 174,166,722,713,105,408/187,150,485
  6. Step 6: Final answer
    x = 930,623,945.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.