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Finding the Third Proportional to 105,550 and 222,034

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Solution

The third proportional to 105,550 and 222,034 is: 467,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,550 : 222,034 = 222,034 : x
  2. Step 2: Convert to fraction form
    105,550/222,034 = 222,034/x
  3. Step 3: Cross multiply
    105,550x = 222,034 × 222,034
  4. Step 4: Simplify right side
    105,550x = 49,299,097,156
  5. Step 5: Solve for x
    x = 49,299,097,156/105,550
  6. Step 6: Final answer
    x = 467,068.66

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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.