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Finding the Third Proportional to 89,936,862,840 and 199,982,324,590

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Solution

The third proportional to 89,936,862,840 and 199,982,324,590 is: 444,677,842,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,936,862,840 : 199,982,324,590 = 199,982,324,590 : x
  2. Step 2: Convert to fraction form
    89,936,862,840/199,982,324,590 = 199,982,324,590/x
  3. Step 3: Cross multiply
    89,936,862,840x = 199,982,324,590 × 199,982,324,590
  4. Step 4: Simplify right side
    89,936,862,840x = 39,992,930,148,420,119,691,264
  5. Step 5: Solve for x
    x = 39,992,930,148,420,119,691,264/89,936,862,840
  6. Step 6: Final answer
    x = 444,677,842,716.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.