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Finding the Third Proportional to 86,131,302.75 and 189,002,949.75

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Solution

The third proportional to 86,131,302.75 and 189,002,949.75 is: 414,740,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131,302.75 : 189,002,949.75 = 189,002,949.75 : x
  2. Step 2: Convert to fraction form
    86,131,302.75/189,002,949.75 = 189,002,949.75/x
  3. Step 3: Cross multiply
    86,131,302.75x = 189,002,949.75 × 189,002,949.75
  4. Step 4: Simplify right side
    86,131,302.75x = 35,722,115,014,201,024
  5. Step 5: Solve for x
    x = 35,722,115,014,201,024/86,131,302.75
  6. Step 6: Final answer
    x = 414,740,214.92

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