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Finding the Third Proportional to 196,499.67 and 421,011.42

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Solution

The third proportional to 196,499.67 and 421,011.42 is: 902,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,499.67 : 421,011.42 = 421,011.42 : x
  2. Step 2: Convert to fraction form
    196,499.67/421,011.42 = 421,011.42/x
  3. Step 3: Cross multiply
    196,499.67x = 421,011.42 × 421,011.42
  4. Step 4: Simplify right side
    196,499.67x = 177,250,617,349.21
  5. Step 5: Solve for x
    x = 177,250,617,349.21/196,499.67
  6. Step 6: Final answer
    x = 902,040.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.