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Finding the Third Proportional to 95,819 and 201,569

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Solution

The third proportional to 95,819 and 201,569 is: 424,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,819 : 201,569 = 201,569 : x
  2. Step 2: Convert to fraction form
    95,819/201,569 = 201,569/x
  3. Step 3: Cross multiply
    95,819x = 201,569 × 201,569
  4. Step 4: Simplify right side
    95,819x = 40,630,061,761
  5. Step 5: Solve for x
    x = 40,630,061,761/95,819
  6. Step 6: Final answer
    x = 424,029.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.