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Finding the Third Proportional to 89,677,029 and 186,511,197

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Solution

The third proportional to 89,677,029 and 186,511,197 is: 387,907,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,677,029 : 186,511,197 = 186,511,197 : x
  2. Step 2: Convert to fraction form
    89,677,029/186,511,197 = 186,511,197/x
  3. Step 3: Cross multiply
    89,677,029x = 186,511,197 × 186,511,197
  4. Step 4: Simplify right side
    89,677,029x = 34,786,426,606,372,808
  5. Step 5: Solve for x
    x = 34,786,426,606,372,808/89,677,029
  6. Step 6: Final answer
    x = 387,907,884.49

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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.