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Finding the Third Proportional to 89,677,038 and 186,511,218

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Solution

The third proportional to 89,677,038 and 186,511,218 is: 387,907,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,677,038 : 186,511,218 = 186,511,218 : x
  2. Step 2: Convert to fraction form
    89,677,038/186,511,218 = 186,511,218/x
  3. Step 3: Cross multiply
    89,677,038x = 186,511,218 × 186,511,218
  4. Step 4: Simplify right side
    89,677,038x = 34,786,434,439,843,524
  5. Step 5: Solve for x
    x = 34,786,434,439,843,524/89,677,038
  6. Step 6: Final answer
    x = 387,907,932.91

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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.