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Finding the Third Proportional to 89,362,161 and 192,838,734

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Solution

The third proportional to 89,362,161 and 192,838,734 is: 416,135,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,362,161 : 192,838,734 = 192,838,734 : x
  2. Step 2: Convert to fraction form
    89,362,161/192,838,734 = 192,838,734/x
  3. Step 3: Cross multiply
    89,362,161x = 192,838,734 × 192,838,734
  4. Step 4: Simplify right side
    89,362,161x = 37,186,777,330,722,752
  5. Step 5: Solve for x
    x = 37,186,777,330,722,752/89,362,161
  6. Step 6: Final answer
    x = 416,135,609.46

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