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Finding the Third Proportional to 209,169.84 and 453,114.84

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Solution

The third proportional to 209,169.84 and 453,114.84 is: 981,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.84 : 453,114.84 = 453,114.84 : x
  2. Step 2: Convert to fraction form
    209,169.84/453,114.84 = 453,114.84/x
  3. Step 3: Cross multiply
    209,169.84x = 453,114.84 × 453,114.84
  4. Step 4: Simplify right side
    209,169.84x = 205,313,061,626.59
  5. Step 5: Solve for x
    x = 205,313,061,626.59/209,169.84
  6. Step 6: Final answer
    x = 981,561.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.