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Finding the Third Proportional to 89,362,166 and 192,838,744

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Solution

The third proportional to 89,362,166 and 192,838,744 is: 416,135,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,362,166 : 192,838,744 = 192,838,744 : x
  2. Step 2: Convert to fraction form
    89,362,166/192,838,744 = 192,838,744/x
  3. Step 3: Cross multiply
    89,362,166x = 192,838,744 × 192,838,744
  4. Step 4: Simplify right side
    89,362,166x = 37,186,781,187,497,536
  5. Step 5: Solve for x
    x = 37,186,781,187,497,536/89,362,166
  6. Step 6: Final answer
    x = 416,135,629.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.