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Finding the Third Proportional to 86,150,080 and 184,409,835

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Solution

The third proportional to 86,150,080 and 184,409,835 is: 394,741,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,150,080 : 184,409,835 = 184,409,835 : x
  2. Step 2: Convert to fraction form
    86,150,080/184,409,835 = 184,409,835/x
  3. Step 3: Cross multiply
    86,150,080x = 184,409,835 × 184,409,835
  4. Step 4: Simplify right side
    86,150,080x = 34,006,987,244,727,224
  5. Step 5: Solve for x
    x = 34,006,987,244,727,224/86,150,080
  6. Step 6: Final answer
    x = 394,741,214.92

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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.