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Finding the Third Proportional to 95,821 and 201,571.75

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Solution

The third proportional to 95,821 and 201,571.75 is: 424,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,821 : 201,571.75 = 201,571.75 : x
  2. Step 2: Convert to fraction form
    95,821/201,571.75 = 201,571.75/x
  3. Step 3: Cross multiply
    95,821x = 201,571.75 × 201,571.75
  4. Step 4: Simplify right side
    95,821x = 40,631,170,398.06
  5. Step 5: Solve for x
    x = 40,631,170,398.06/95,821
  6. Step 6: Final answer
    x = 424,032.00

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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.