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Finding the Third Proportional to 94,808 and 204,818

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Solution

The third proportional to 94,808 and 204,818 is: 442,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,808 : 204,818 = 204,818 : x
  2. Step 2: Convert to fraction form
    94,808/204,818 = 204,818/x
  3. Step 3: Cross multiply
    94,808x = 204,818 × 204,818
  4. Step 4: Simplify right side
    94,808x = 41,950,413,124
  5. Step 5: Solve for x
    x = 41,950,413,124/94,808
  6. Step 6: Final answer
    x = 442,477.57

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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.