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Finding the Third Proportional to 95,202 and 205,434

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Solution

The third proportional to 95,202 and 205,434 is: 443,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202 : 205,434 = 205,434 : x
  2. Step 2: Convert to fraction form
    95,202/205,434 = 205,434/x
  3. Step 3: Cross multiply
    95,202x = 205,434 × 205,434
  4. Step 4: Simplify right side
    95,202x = 42,203,128,356
  5. Step 5: Solve for x
    x = 42,203,128,356/95,202
  6. Step 6: Final answer
    x = 443,300.86

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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.