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Finding the Third Proportional to 96,710 and 203,212

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Solution

The third proportional to 96,710 and 203,212 is: 426,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,710 : 203,212 = 203,212 : x
  2. Step 2: Convert to fraction form
    96,710/203,212 = 203,212/x
  3. Step 3: Cross multiply
    96,710x = 203,212 × 203,212
  4. Step 4: Simplify right side
    96,710x = 41,295,116,944
  5. Step 5: Solve for x
    x = 41,295,116,944/96,710
  6. Step 6: Final answer
    x = 426,999.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.