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Finding the Third Proportional to 94,012 and 211,700

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Solution

The third proportional to 94,012 and 211,700 is: 476,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,012 : 211,700 = 211,700 : x
  2. Step 2: Convert to fraction form
    94,012/211,700 = 211,700/x
  3. Step 3: Cross multiply
    94,012x = 211,700 × 211,700
  4. Step 4: Simplify right side
    94,012x = 44,816,890,000
  5. Step 5: Solve for x
    x = 44,816,890,000/94,012
  6. Step 6: Final answer
    x = 476,714.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.