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Finding the Third Proportional to 94,420.69 and 193,202.72

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Solution

The third proportional to 94,420.69 and 193,202.72 is: 395,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,420.69 : 193,202.72 = 193,202.72 : x
  2. Step 2: Convert to fraction form
    94,420.69/193,202.72 = 193,202.72/x
  3. Step 3: Cross multiply
    94,420.69x = 193,202.72 × 193,202.72
  4. Step 4: Simplify right side
    94,420.69x = 37,327,290,532.39
  5. Step 5: Solve for x
    x = 37,327,290,532.39/94,420.69
  6. Step 6: Final answer
    x = 395,329.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.