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Finding the Third Proportional to 196,160.06 and 415,863.19

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Solution

The third proportional to 196,160.06 and 415,863.19 is: 881,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,160.06 : 415,863.19 = 415,863.19 : x
  2. Step 2: Convert to fraction form
    196,160.06/415,863.19 = 415,863.19/x
  3. Step 3: Cross multiply
    196,160.06x = 415,863.19 × 415,863.19
  4. Step 4: Simplify right side
    196,160.06x = 172,942,190,717.66
  5. Step 5: Solve for x
    x = 172,942,190,717.66/196,160.06
  6. Step 6: Final answer
    x = 881,638.13

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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.