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Finding the Third Proportional to 195,096.94 and 427,475.25

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Solution

The third proportional to 195,096.94 and 427,475.25 is: 936,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,096.94 : 427,475.25 = 427,475.25 : x
  2. Step 2: Convert to fraction form
    195,096.94/427,475.25 = 427,475.25/x
  3. Step 3: Cross multiply
    195,096.94x = 427,475.25 × 427,475.25
  4. Step 4: Simplify right side
    195,096.94x = 182,735,089,362.56
  5. Step 5: Solve for x
    x = 182,735,089,362.56/195,096.94
  6. Step 6: Final answer
    x = 936,637.41

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