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Finding the Third Proportional to 86,405,457 and 188,950,812

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Solution

The third proportional to 86,405,457 and 188,950,812 is: 413,196,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405,457 : 188,950,812 = 188,950,812 : x
  2. Step 2: Convert to fraction form
    86,405,457/188,950,812 = 188,950,812/x
  3. Step 3: Cross multiply
    86,405,457x = 188,950,812 × 188,950,812
  4. Step 4: Simplify right side
    86,405,457x = 35,702,409,355,459,344
  5. Step 5: Solve for x
    x = 35,702,409,355,459,344/86,405,457
  6. Step 6: Final answer
    x = 413,196,233.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.