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Finding the Third Proportional to 86,198,991 and 191,529,846

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Solution

The third proportional to 86,198,991 and 191,529,846 is: 425,569,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,991 : 191,529,846 = 191,529,846 : x
  2. Step 2: Convert to fraction form
    86,198,991/191,529,846 = 191,529,846/x
  3. Step 3: Cross multiply
    86,198,991x = 191,529,846 × 191,529,846
  4. Step 4: Simplify right side
    86,198,991x = 36,683,681,908,783,712
  5. Step 5: Solve for x
    x = 36,683,681,908,783,712/86,198,991
  6. Step 6: Final answer
    x = 425,569,736.76

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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.