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Finding the Third Proportional to 89,984.81 and 196,918.31

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Solution

The third proportional to 89,984.81 and 196,918.31 is: 430,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,984.81 : 196,918.31 = 196,918.31 : x
  2. Step 2: Convert to fraction form
    89,984.81/196,918.31 = 196,918.31/x
  3. Step 3: Cross multiply
    89,984.81x = 196,918.31 × 196,918.31
  4. Step 4: Simplify right side
    89,984.81x = 38,776,821,797.85
  5. Step 5: Solve for x
    x = 38,776,821,797.85/89,984.81
  6. Step 6: Final answer
    x = 430,926.29

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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.