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Finding the Third Proportional to 101,114 and 217,492

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Solution

The third proportional to 101,114 and 217,492 is: 467,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,114 : 217,492 = 217,492 : x
  2. Step 2: Convert to fraction form
    101,114/217,492 = 217,492/x
  3. Step 3: Cross multiply
    101,114x = 217,492 × 217,492
  4. Step 4: Simplify right side
    101,114x = 47,302,770,064
  5. Step 5: Solve for x
    x = 47,302,770,064/101,114
  6. Step 6: Final answer
    x = 467,816.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.