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Finding the Third Proportional to 94,257.42 and 198,208.27

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Solution

The third proportional to 94,257.42 and 198,208.27 is: 416,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,257.42 : 198,208.27 = 198,208.27 : x
  2. Step 2: Convert to fraction form
    94,257.42/198,208.27 = 198,208.27/x
  3. Step 3: Cross multiply
    94,257.42x = 198,208.27 × 198,208.27
  4. Step 4: Simplify right side
    94,257.42x = 39,286,516,562.07
  5. Step 5: Solve for x
    x = 39,286,516,562.07/94,257.42
  6. Step 6: Final answer
    x = 416,800.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.