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Finding the Third Proportional to 196,214.91 and 415,803.38

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Solution

The third proportional to 196,214.91 and 415,803.38 is: 881,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,214.91 : 415,803.38 = 415,803.38 : x
  2. Step 2: Convert to fraction form
    196,214.91/415,803.38 = 415,803.38/x
  3. Step 3: Cross multiply
    196,214.91x = 415,803.38 × 415,803.38
  4. Step 4: Simplify right side
    196,214.91x = 172,892,446,661.39
  5. Step 5: Solve for x
    x = 172,892,446,661.39/196,214.91
  6. Step 6: Final answer
    x = 881,138.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.