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Finding the Third Proportional to 86,131,467 and 189,003,285

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Solution

The third proportional to 86,131,467 and 189,003,285 is: 414,740,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131,467 : 189,003,285 = 189,003,285 : x
  2. Step 2: Convert to fraction form
    86,131,467/189,003,285 = 189,003,285/x
  3. Step 3: Cross multiply
    86,131,467x = 189,003,285 × 189,003,285
  4. Step 4: Simplify right side
    86,131,467x = 35,722,241,740,791,224
  5. Step 5: Solve for x
    x = 35,722,241,740,791,224/86,131,467
  6. Step 6: Final answer
    x = 414,740,895.34

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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.