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Finding the Third Proportional to 209,600.16 and 454,647.94

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Solution

The third proportional to 209,600.16 and 454,647.94 is: 986,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,600.16 : 454,647.94 = 454,647.94 : x
  2. Step 2: Convert to fraction form
    209,600.16/454,647.94 = 454,647.94/x
  3. Step 3: Cross multiply
    209,600.16x = 454,647.94 × 454,647.94
  4. Step 4: Simplify right side
    209,600.16x = 206,704,747,073.00
  5. Step 5: Solve for x
    x = 206,704,747,073.00/209,600.16
  6. Step 6: Final answer
    x = 986,186.04

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Why These Related Problems?

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