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Finding the Third Proportional to 205,953.89 and 446,161.92

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Solution

The third proportional to 205,953.89 and 446,161.92 is: 966,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,953.89 : 446,161.92 = 446,161.92 : x
  2. Step 2: Convert to fraction form
    205,953.89/446,161.92 = 446,161.92/x
  3. Step 3: Cross multiply
    205,953.89x = 446,161.92 × 446,161.92
  4. Step 4: Simplify right side
    205,953.89x = 199,060,460,531.19
  5. Step 5: Solve for x
    x = 199,060,460,531.19/205,953.89
  6. Step 6: Final answer
    x = 966,529.26

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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.