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Finding the Third Proportional to 90,633 and 200,028

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Solution

The third proportional to 90,633 and 200,028 is: 441,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,633 : 200,028 = 200,028 : x
  2. Step 2: Convert to fraction form
    90,633/200,028 = 200,028/x
  3. Step 3: Cross multiply
    90,633x = 200,028 × 200,028
  4. Step 4: Simplify right side
    90,633x = 40,011,200,784
  5. Step 5: Solve for x
    x = 40,011,200,784/90,633
  6. Step 6: Final answer
    x = 441,463.93

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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.