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Finding the Third Proportional to 86,189,301 and 186,052,698

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Solution

The third proportional to 86,189,301 and 186,052,698 is: 401,623,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189,301 : 186,052,698 = 186,052,698 : x
  2. Step 2: Convert to fraction form
    86,189,301/186,052,698 = 186,052,698/x
  3. Step 3: Cross multiply
    86,189,301x = 186,052,698 × 186,052,698
  4. Step 4: Simplify right side
    86,189,301x = 34,615,606,433,079,204
  5. Step 5: Solve for x
    x = 34,615,606,433,079,204/86,189,301
  6. Step 6: Final answer
    x = 401,623,009.25

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