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Finding the Third Proportional to 102,166 and 216,616

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Solution

The third proportional to 102,166 and 216,616 is: 459,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166 : 216,616 = 216,616 : x
  2. Step 2: Convert to fraction form
    102,166/216,616 = 216,616/x
  3. Step 3: Cross multiply
    102,166x = 216,616 × 216,616
  4. Step 4: Simplify right side
    102,166x = 46,922,491,456
  5. Step 5: Solve for x
    x = 46,922,491,456/102,166
  6. Step 6: Final answer
    x = 459,276.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.