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Finding the Third Proportional to 106,998 and 227,820

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Solution

The third proportional to 106,998 and 227,820 is: 485,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,998 : 227,820 = 227,820 : x
  2. Step 2: Convert to fraction form
    106,998/227,820 = 227,820/x
  3. Step 3: Cross multiply
    106,998x = 227,820 × 227,820
  4. Step 4: Simplify right side
    106,998x = 51,901,952,400
  5. Step 5: Solve for x
    x = 51,901,952,400/106,998
  6. Step 6: Final answer
    x = 485,074.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.