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Finding the Third Proportional to 102,054 and 216,244

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Solution

The third proportional to 102,054 and 216,244 is: 458,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054 : 216,244 = 216,244 : x
  2. Step 2: Convert to fraction form
    102,054/216,244 = 216,244/x
  3. Step 3: Cross multiply
    102,054x = 216,244 × 216,244
  4. Step 4: Simplify right side
    102,054x = 46,761,467,536
  5. Step 5: Solve for x
    x = 46,761,467,536/102,054
  6. Step 6: Final answer
    x = 458,203.18

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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.