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Finding the Third Proportional to 196,630.56 and 303,638.69

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Solution

The third proportional to 196,630.56 and 303,638.69 is: 468,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,630.56 : 303,638.69 = 303,638.69 : x
  2. Step 2: Convert to fraction form
    196,630.56/303,638.69 = 303,638.69/x
  3. Step 3: Cross multiply
    196,630.56x = 303,638.69 × 303,638.69
  4. Step 4: Simplify right side
    196,630.56x = 92,196,452,546.72
  5. Step 5: Solve for x
    x = 92,196,452,546.72/196,630.56
  6. Step 6: Final answer
    x = 468,881.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.