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Finding the Third Proportional to 94,466.25 and 199,596.38

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Solution

The third proportional to 94,466.25 and 199,596.38 is: 421,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,466.25 : 199,596.38 = 199,596.38 : x
  2. Step 2: Convert to fraction form
    94,466.25/199,596.38 = 199,596.38/x
  3. Step 3: Cross multiply
    94,466.25x = 199,596.38 × 199,596.38
  4. Step 4: Simplify right side
    94,466.25x = 39,838,712,913.14
  5. Step 5: Solve for x
    x = 39,838,712,913.14/94,466.25
  6. Step 6: Final answer
    x = 421,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.