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Finding the Third Proportional to 205,874.16 and 446,113.41

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Solution

The third proportional to 205,874.16 and 446,113.41 is: 966,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.16 : 446,113.41 = 446,113.41 : x
  2. Step 2: Convert to fraction form
    205,874.16/446,113.41 = 446,113.41/x
  3. Step 3: Cross multiply
    205,874.16x = 446,113.41 × 446,113.41
  4. Step 4: Simplify right side
    205,874.16x = 199,017,171,235.98
  5. Step 5: Solve for x
    x = 199,017,171,235.98/205,874.16
  6. Step 6: Final answer
    x = 966,693.32

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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.