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Finding the Third Proportional to 94,420.69 and 203,921.72

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Solution

The third proportional to 94,420.69 and 203,921.72 is: 440,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,420.69 : 203,921.72 = 203,921.72 : x
  2. Step 2: Convert to fraction form
    94,420.69/203,921.72 = 203,921.72/x
  3. Step 3: Cross multiply
    94,420.69x = 203,921.72 × 203,921.72
  4. Step 4: Simplify right side
    94,420.69x = 41,584,067,377.95
  5. Step 5: Solve for x
    x = 41,584,067,377.95/94,420.69
  6. Step 6: Final answer
    x = 440,412.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.