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Finding the Third Proportional to 94,670 and 204,102

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Solution

The third proportional to 94,670 and 204,102 is: 440,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,670 : 204,102 = 204,102 : x
  2. Step 2: Convert to fraction form
    94,670/204,102 = 204,102/x
  3. Step 3: Cross multiply
    94,670x = 204,102 × 204,102
  4. Step 4: Simplify right side
    94,670x = 41,657,626,404
  5. Step 5: Solve for x
    x = 41,657,626,404/94,670
  6. Step 6: Final answer
    x = 440,029.86

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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.