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Finding the Third Proportional to 86,149,774 and 184,409,237

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Solution

The third proportional to 86,149,774 and 184,409,237 is: 394,740,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,149,774 : 184,409,237 = 184,409,237 : x
  2. Step 2: Convert to fraction form
    86,149,774/184,409,237 = 184,409,237/x
  3. Step 3: Cross multiply
    86,149,774x = 184,409,237 × 184,409,237
  4. Step 4: Simplify right side
    86,149,774x = 34,006,766,690,922,168
  5. Step 5: Solve for x
    x = 34,006,766,690,922,168/86,149,774
  6. Step 6: Final answer
    x = 394,740,056.90

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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.