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Finding the Third Proportional to 188,811 and 201,750.75

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Solution

The third proportional to 188,811 and 201,750.75 is: 215,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,811 : 201,750.75 = 201,750.75 : x
  2. Step 2: Convert to fraction form
    188,811/201,750.75 = 201,750.75/x
  3. Step 3: Cross multiply
    188,811x = 201,750.75 × 201,750.75
  4. Step 4: Simplify right side
    188,811x = 40,703,365,125.56
  5. Step 5: Solve for x
    x = 40,703,365,125.56/188,811
  6. Step 6: Final answer
    x = 215,577.30

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.