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Finding the Third Proportional to 86,863,012 and 180,871,015

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Solution

The third proportional to 86,863,012 and 180,871,015 is: 376,619,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,863,012 : 180,871,015 = 180,871,015 : x
  2. Step 2: Convert to fraction form
    86,863,012/180,871,015 = 180,871,015/x
  3. Step 3: Cross multiply
    86,863,012x = 180,871,015 × 180,871,015
  4. Step 4: Simplify right side
    86,863,012x = 32,714,324,067,130,224
  5. Step 5: Solve for x
    x = 32,714,324,067,130,224/86,863,012
  6. Step 6: Final answer
    x = 376,619,729.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.