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Finding the Third Proportional to 89,022.01 and 205,909.04

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Solution

The third proportional to 89,022.01 and 205,909.04 is: 476,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,022.01 : 205,909.04 = 205,909.04 : x
  2. Step 2: Convert to fraction form
    89,022.01/205,909.04 = 205,909.04/x
  3. Step 3: Cross multiply
    89,022.01x = 205,909.04 × 205,909.04
  4. Step 4: Simplify right side
    89,022.01x = 42,398,532,769.81
  5. Step 5: Solve for x
    x = 42,398,532,769.81/89,022.01
  6. Step 6: Final answer
    x = 476,270.25

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.