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Finding the Third Proportional to 86,189,408 and 186,052,912

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Solution

The third proportional to 86,189,408 and 186,052,912 is: 401,623,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189,408 : 186,052,912 = 186,052,912 : x
  2. Step 2: Convert to fraction form
    86,189,408/186,052,912 = 186,052,912/x
  3. Step 3: Cross multiply
    86,189,408x = 186,052,912 × 186,052,912
  4. Step 4: Simplify right side
    86,189,408x = 34,615,686,063,679,744
  5. Step 5: Solve for x
    x = 34,615,686,063,679,744/86,189,408
  6. Step 6: Final answer
    x = 401,623,434.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.