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Finding the Third Proportional to 86,863,009.50 and 180,871,011

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Solution

The third proportional to 86,863,009.50 and 180,871,011 is: 376,619,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,863,009.50 : 180,871,011 = 180,871,011 : x
  2. Step 2: Convert to fraction form
    86,863,009.50/180,871,011 = 180,871,011/x
  3. Step 3: Cross multiply
    86,863,009.50x = 180,871,011 × 180,871,011
  4. Step 4: Simplify right side
    86,863,009.50x = 32,714,322,620,162,120
  5. Step 5: Solve for x
    x = 32,714,322,620,162,120/86,863,009.50
  6. Step 6: Final answer
    x = 376,619,723.50

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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.