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Finding the Third Proportional to 196,916.06 and 217,216.69

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Solution

The third proportional to 196,916.06 and 217,216.69 is: 239,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,916.06 : 217,216.69 = 217,216.69 : x
  2. Step 2: Convert to fraction form
    196,916.06/217,216.69 = 217,216.69/x
  3. Step 3: Cross multiply
    196,916.06x = 217,216.69 × 217,216.69
  4. Step 4: Simplify right side
    196,916.06x = 47,183,089,328.47
  5. Step 5: Solve for x
    x = 47,183,089,328.47/196,916.06
  6. Step 6: Final answer
    x = 239,610.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.