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Finding the Third Proportional to 86,149,769 and 184,409,231

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Solution

The third proportional to 86,149,769 and 184,409,231 is: 394,740,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,149,769 : 184,409,231 = 184,409,231 : x
  2. Step 2: Convert to fraction form
    86,149,769/184,409,231 = 184,409,231/x
  3. Step 3: Cross multiply
    86,149,769x = 184,409,231 × 184,409,231
  4. Step 4: Simplify right side
    86,149,769x = 34,006,764,478,011,360
  5. Step 5: Solve for x
    x = 34,006,764,478,011,360/86,149,769
  6. Step 6: Final answer
    x = 394,740,054.13

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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.