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Finding the Third Proportional to 196,519.50 and 461,956.50

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Solution

The third proportional to 196,519.50 and 461,956.50 is: 1,085,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,519.50 : 461,956.50 = 461,956.50 : x
  2. Step 2: Convert to fraction form
    196,519.50/461,956.50 = 461,956.50/x
  3. Step 3: Cross multiply
    196,519.50x = 461,956.50 × 461,956.50
  4. Step 4: Simplify right side
    196,519.50x = 213,403,807,892.25
  5. Step 5: Solve for x
    x = 213,403,807,892.25/196,519.50
  6. Step 6: Final answer
    x = 1,085,916.70

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.