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Finding the Third Proportional to 196,893 and 429,422.63

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Solution

The third proportional to 196,893 and 429,422.63 is: 936,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893 : 429,422.63 = 429,422.63 : x
  2. Step 2: Convert to fraction form
    196,893/429,422.63 = 429,422.63/x
  3. Step 3: Cross multiply
    196,893x = 429,422.63 × 429,422.63
  4. Step 4: Simplify right side
    196,893x = 184,403,790,861.89
  5. Step 5: Solve for x
    x = 184,403,790,861.89/196,893
  6. Step 6: Final answer
    x = 936,568.55

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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.