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Finding the Third Proportional to 107,973 and 222,862

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Solution

The third proportional to 107,973 and 222,862 is: 459,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,973 : 222,862 = 222,862 : x
  2. Step 2: Convert to fraction form
    107,973/222,862 = 222,862/x
  3. Step 3: Cross multiply
    107,973x = 222,862 × 222,862
  4. Step 4: Simplify right side
    107,973x = 49,667,471,044
  5. Step 5: Solve for x
    x = 49,667,471,044/107,973
  6. Step 6: Final answer
    x = 459,998.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.