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Finding the Third Proportional to 199,103.06 and 429,902.44

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Solution

The third proportional to 199,103.06 and 429,902.44 is: 928,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,103.06 : 429,902.44 = 429,902.44 : x
  2. Step 2: Convert to fraction form
    199,103.06/429,902.44 = 429,902.44/x
  3. Step 3: Cross multiply
    199,103.06x = 429,902.44 × 429,902.44
  4. Step 4: Simplify right side
    199,103.06x = 184,816,105,768.44
  5. Step 5: Solve for x
    x = 184,816,105,768.44/199,103.06
  6. Step 6: Final answer
    x = 928,243.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.