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Finding the Third Proportional to 91,828 and 201,260

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Solution

The third proportional to 91,828 and 201,260 is: 441,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,828 : 201,260 = 201,260 : x
  2. Step 2: Convert to fraction form
    91,828/201,260 = 201,260/x
  3. Step 3: Cross multiply
    91,828x = 201,260 × 201,260
  4. Step 4: Simplify right side
    91,828x = 40,505,587,600
  5. Step 5: Solve for x
    x = 40,505,587,600/91,828
  6. Step 6: Final answer
    x = 441,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.