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Finding the Third Proportional to 89,728,608 and 191,892,496

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Solution

The third proportional to 89,728,608 and 191,892,496 is: 410,378,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728,608 : 191,892,496 = 191,892,496 : x
  2. Step 2: Convert to fraction form
    89,728,608/191,892,496 = 191,892,496/x
  3. Step 3: Cross multiply
    89,728,608x = 191,892,496 × 191,892,496
  4. Step 4: Simplify right side
    89,728,608x = 36,822,730,021,110,016
  5. Step 5: Solve for x
    x = 36,822,730,021,110,016/89,728,608
  6. Step 6: Final answer
    x = 410,378,928.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.