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Finding the Third Proportional to 99,072 and 214,182

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Solution

The third proportional to 99,072 and 214,182 is: 463,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 214,182 = 214,182 : x
  2. Step 2: Convert to fraction form
    99,072/214,182 = 214,182/x
  3. Step 3: Cross multiply
    99,072x = 214,182 × 214,182
  4. Step 4: Simplify right side
    99,072x = 45,873,929,124
  5. Step 5: Solve for x
    x = 45,873,929,124/99,072
  6. Step 6: Final answer
    x = 463,036.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.