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Finding the Third Proportional to 90,632 and 200,024

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Solution

The third proportional to 90,632 and 200,024 is: 441,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,632 : 200,024 = 200,024 : x
  2. Step 2: Convert to fraction form
    90,632/200,024 = 200,024/x
  3. Step 3: Cross multiply
    90,632x = 200,024 × 200,024
  4. Step 4: Simplify right side
    90,632x = 40,009,600,576
  5. Step 5: Solve for x
    x = 40,009,600,576/90,632
  6. Step 6: Final answer
    x = 441,451.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.