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Finding the Third Proportional to 122,558,980 and 186,384,966

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Solution

The third proportional to 122,558,980 and 186,384,966 is: 283,450,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,558,980 : 186,384,966 = 186,384,966 : x
  2. Step 2: Convert to fraction form
    122,558,980/186,384,966 = 186,384,966/x
  3. Step 3: Cross multiply
    122,558,980x = 186,384,966 × 186,384,966
  4. Step 4: Simplify right side
    122,558,980x = 34,739,355,550,821,156
  5. Step 5: Solve for x
    x = 34,739,355,550,821,156/122,558,980
  6. Step 6: Final answer
    x = 283,450,103.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.