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Finding the Third Proportional to 91,683.14 and 194,403.80

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Solution

The third proportional to 91,683.14 and 194,403.80 is: 412,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683.14 : 194,403.80 = 194,403.80 : x
  2. Step 2: Convert to fraction form
    91,683.14/194,403.80 = 194,403.80/x
  3. Step 3: Cross multiply
    91,683.14x = 194,403.80 × 194,403.80
  4. Step 4: Simplify right side
    91,683.14x = 37,792,836,239.42
  5. Step 5: Solve for x
    x = 37,792,836,239.42/91,683.14
  6. Step 6: Final answer
    x = 412,211.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.