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Finding the Third Proportional to 86,299,200 and 185,405,472

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Solution

The third proportional to 86,299,200 and 185,405,472 is: 398,325,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,299,200 : 185,405,472 = 185,405,472 : x
  2. Step 2: Convert to fraction form
    86,299,200/185,405,472 = 185,405,472/x
  3. Step 3: Cross multiply
    86,299,200x = 185,405,472 × 185,405,472
  4. Step 4: Simplify right side
    86,299,200x = 34,375,189,047,542,784
  5. Step 5: Solve for x
    x = 34,375,189,047,542,784/86,299,200
  6. Step 6: Final answer
    x = 398,325,697.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.