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Finding the Third Proportional to 89,465,942 and 195,678,796

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Solution

The third proportional to 89,465,942 and 195,678,796 is: 427,986,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465,942 : 195,678,796 = 195,678,796 : x
  2. Step 2: Convert to fraction form
    89,465,942/195,678,796 = 195,678,796/x
  3. Step 3: Cross multiply
    89,465,942x = 195,678,796 × 195,678,796
  4. Step 4: Simplify right side
    89,465,942x = 38,290,191,204,009,616
  5. Step 5: Solve for x
    x = 38,290,191,204,009,616/89,465,942
  6. Step 6: Final answer
    x = 427,986,229.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.