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Finding the Third Proportional to 85,365,171 and 187,322,017.50

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Solution

The third proportional to 85,365,171 and 187,322,017.50 is: 411,052,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,365,171 : 187,322,017.50 = 187,322,017.50 : x
  2. Step 2: Convert to fraction form
    85,365,171/187,322,017.50 = 187,322,017.50/x
  3. Step 3: Cross multiply
    85,365,171x = 187,322,017.50 × 187,322,017.50
  4. Step 4: Simplify right side
    85,365,171x = 35,089,538,240,270,308
  5. Step 5: Solve for x
    x = 35,089,538,240,270,308/85,365,171
  6. Step 6: Final answer
    x = 411,052,163.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.