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Finding the Third Proportional to 89,728,527 and 191,892,333

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Solution

The third proportional to 89,728,527 and 191,892,333 is: 410,378,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728,527 : 191,892,333 = 191,892,333 : x
  2. Step 2: Convert to fraction form
    89,728,527/191,892,333 = 191,892,333/x
  3. Step 3: Cross multiply
    89,728,527x = 191,892,333 × 191,892,333
  4. Step 4: Simplify right side
    89,728,527x = 36,822,667,464,182,888
  5. Step 5: Solve for x
    x = 36,822,667,464,182,888/89,728,527
  6. Step 6: Final answer
    x = 410,378,601.94

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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.