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Finding the Third Proportional to 94,470 and 204,158

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Solution

The third proportional to 94,470 and 204,158 is: 441,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,470 : 204,158 = 204,158 : x
  2. Step 2: Convert to fraction form
    94,470/204,158 = 204,158/x
  3. Step 3: Cross multiply
    94,470x = 204,158 × 204,158
  4. Step 4: Simplify right side
    94,470x = 41,680,488,964
  5. Step 5: Solve for x
    x = 41,680,488,964/94,470
  6. Step 6: Final answer
    x = 441,203.44

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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.