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Finding the Third Proportional to 103,655 and 222,051

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Solution

The third proportional to 103,655 and 222,051 is: 475,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655 : 222,051 = 222,051 : x
  2. Step 2: Convert to fraction form
    103,655/222,051 = 222,051/x
  3. Step 3: Cross multiply
    103,655x = 222,051 × 222,051
  4. Step 4: Simplify right side
    103,655x = 49,306,646,601
  5. Step 5: Solve for x
    x = 49,306,646,601/103,655
  6. Step 6: Final answer
    x = 475,680.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.