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Finding the Third Proportional to 91,629.75 and 201,898.50

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Solution

The third proportional to 91,629.75 and 201,898.50 is: 444,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,629.75 : 201,898.50 = 201,898.50 : x
  2. Step 2: Convert to fraction form
    91,629.75/201,898.50 = 201,898.50/x
  3. Step 3: Cross multiply
    91,629.75x = 201,898.50 × 201,898.50
  4. Step 4: Simplify right side
    91,629.75x = 40,763,004,302.25
  5. Step 5: Solve for x
    x = 40,763,004,302.25/91,629.75
  6. Step 6: Final answer
    x = 444,866.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.