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Finding the Third Proportional to 196,850.25 and 291,124.13

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Solution

The third proportional to 196,850.25 and 291,124.13 is: 430,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,850.25 : 291,124.13 = 291,124.13 : x
  2. Step 2: Convert to fraction form
    196,850.25/291,124.13 = 291,124.13/x
  3. Step 3: Cross multiply
    196,850.25x = 291,124.13 × 291,124.13
  4. Step 4: Simplify right side
    196,850.25x = 84,753,256,157.02
  5. Step 5: Solve for x
    x = 84,753,256,157.02/196,850.25
  6. Step 6: Final answer
    x = 430,546.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.