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Finding the Third Proportional to 86,189,276 and 186,052,648

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Solution

The third proportional to 86,189,276 and 186,052,648 is: 401,622,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189,276 : 186,052,648 = 186,052,648 : x
  2. Step 2: Convert to fraction form
    86,189,276/186,052,648 = 186,052,648/x
  3. Step 3: Cross multiply
    86,189,276x = 186,052,648 × 186,052,648
  4. Step 4: Simplify right side
    86,189,276x = 34,615,587,827,811,904
  5. Step 5: Solve for x
    x = 34,615,587,827,811,904/86,189,276
  6. Step 6: Final answer
    x = 401,622,909.88

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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.