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Finding the Third Proportional to 94,220.16 and 205,046.44

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Solution

The third proportional to 94,220.16 and 205,046.44 is: 446,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,220.16 : 205,046.44 = 205,046.44 : x
  2. Step 2: Convert to fraction form
    94,220.16/205,046.44 = 205,046.44/x
  3. Step 3: Cross multiply
    94,220.16x = 205,046.44 × 205,046.44
  4. Step 4: Simplify right side
    94,220.16x = 42,044,041,531.44
  5. Step 5: Solve for x
    x = 42,044,041,531.44/94,220.16
  6. Step 6: Final answer
    x = 446,231.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.