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Finding the Third Proportional to 95,021 and 206,580.50

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Solution

The third proportional to 95,021 and 206,580.50 is: 449,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,021 : 206,580.50 = 206,580.50 : x
  2. Step 2: Convert to fraction form
    95,021/206,580.50 = 206,580.50/x
  3. Step 3: Cross multiply
    95,021x = 206,580.50 × 206,580.50
  4. Step 4: Simplify right side
    95,021x = 42,675,502,980.25
  5. Step 5: Solve for x
    x = 42,675,502,980.25/95,021
  6. Step 6: Final answer
    x = 449,116.54

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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.