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Finding the Third Proportional to 105,157 and 227,801

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Solution

The third proportional to 105,157 and 227,801 is: 493,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,157 : 227,801 = 227,801 : x
  2. Step 2: Convert to fraction form
    105,157/227,801 = 227,801/x
  3. Step 3: Cross multiply
    105,157x = 227,801 × 227,801
  4. Step 4: Simplify right side
    105,157x = 51,893,295,601
  5. Step 5: Solve for x
    x = 51,893,295,601/105,157
  6. Step 6: Final answer
    x = 493,483.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.