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Finding the Third Proportional to 95,021 and 205,258

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Solution

The third proportional to 95,021 and 205,258 is: 443,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,021 : 205,258 = 205,258 : x
  2. Step 2: Convert to fraction form
    95,021/205,258 = 205,258/x
  3. Step 3: Cross multiply
    95,021x = 205,258 × 205,258
  4. Step 4: Simplify right side
    95,021x = 42,130,846,564
  5. Step 5: Solve for x
    x = 42,130,846,564/95,021
  6. Step 6: Final answer
    x = 443,384.58

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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.