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Finding the Third Proportional to 94,791 and 204,783

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Solution

The third proportional to 94,791 and 204,783 is: 442,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,791 : 204,783 = 204,783 : x
  2. Step 2: Convert to fraction form
    94,791/204,783 = 204,783/x
  3. Step 3: Cross multiply
    94,791x = 204,783 × 204,783
  4. Step 4: Simplify right side
    94,791x = 41,936,077,089
  5. Step 5: Solve for x
    x = 41,936,077,089/94,791
  6. Step 6: Final answer
    x = 442,405.68

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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.