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Finding the Third Proportional to 196,890.19 and 429,416.44

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Solution

The third proportional to 196,890.19 and 429,416.44 is: 936,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,890.19 : 429,416.44 = 429,416.44 : x
  2. Step 2: Convert to fraction form
    196,890.19/429,416.44 = 429,416.44/x
  3. Step 3: Cross multiply
    196,890.19x = 429,416.44 × 429,416.44
  4. Step 4: Simplify right side
    196,890.19x = 184,398,476,795.19
  5. Step 5: Solve for x
    x = 184,398,476,795.19/196,890.19
  6. Step 6: Final answer
    x = 936,554.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.