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Finding the Third Proportional to 89,677,032 and 186,511,203

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Solution

The third proportional to 89,677,032 and 186,511,203 is: 387,907,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,677,032 : 186,511,203 = 186,511,203 : x
  2. Step 2: Convert to fraction form
    89,677,032/186,511,203 = 186,511,203/x
  3. Step 3: Cross multiply
    89,677,032x = 186,511,203 × 186,511,203
  4. Step 4: Simplify right side
    89,677,032x = 34,786,428,844,507,208
  5. Step 5: Solve for x
    x = 34,786,428,844,507,208/89,677,032
  6. Step 6: Final answer
    x = 387,907,896.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.