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Finding the Third Proportional to 89,747,118 and 192,901,228

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Solution

The third proportional to 89,747,118 and 192,901,228 is: 414,619,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,747,118 : 192,901,228 = 192,901,228 : x
  2. Step 2: Convert to fraction form
    89,747,118/192,901,228 = 192,901,228/x
  3. Step 3: Cross multiply
    89,747,118x = 192,901,228 × 192,901,228
  4. Step 4: Simplify right side
    89,747,118x = 37,210,883,763,907,984
  5. Step 5: Solve for x
    x = 37,210,883,763,907,984/89,747,118
  6. Step 6: Final answer
    x = 414,619,261.24

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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.