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Finding the Third Proportional to 196,108.59 and 428,181.19

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Solution

The third proportional to 196,108.59 and 428,181.19 is: 934,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,108.59 : 428,181.19 = 428,181.19 : x
  2. Step 2: Convert to fraction form
    196,108.59/428,181.19 = 428,181.19/x
  3. Step 3: Cross multiply
    196,108.59x = 428,181.19 × 428,181.19
  4. Step 4: Simplify right side
    196,108.59x = 183,339,129,328.91
  5. Step 5: Solve for x
    x = 183,339,129,328.91/196,108.59
  6. Step 6: Final answer
    x = 934,885.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.