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Finding the Third Proportional to 105,548 and 222,030

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Solution

The third proportional to 105,548 and 222,030 is: 467,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,548 : 222,030 = 222,030 : x
  2. Step 2: Convert to fraction form
    105,548/222,030 = 222,030/x
  3. Step 3: Cross multiply
    105,548x = 222,030 × 222,030
  4. Step 4: Simplify right side
    105,548x = 49,297,320,900
  5. Step 5: Solve for x
    x = 49,297,320,900/105,548
  6. Step 6: Final answer
    x = 467,060.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.