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Finding the Third Proportional to 94,844 and 203,182

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Solution

The third proportional to 94,844 and 203,182 is: 435,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844 : 203,182 = 203,182 : x
  2. Step 2: Convert to fraction form
    94,844/203,182 = 203,182/x
  3. Step 3: Cross multiply
    94,844x = 203,182 × 203,182
  4. Step 4: Simplify right side
    94,844x = 41,282,925,124
  5. Step 5: Solve for x
    x = 41,282,925,124/94,844
  6. Step 6: Final answer
    x = 435,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.