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Finding the Third Proportional to 101,622 and 222,618

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Solution

The third proportional to 101,622 and 222,618 is: 487,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622 : 222,618 = 222,618 : x
  2. Step 2: Convert to fraction form
    101,622/222,618 = 222,618/x
  3. Step 3: Cross multiply
    101,622x = 222,618 × 222,618
  4. Step 4: Simplify right side
    101,622x = 49,558,773,924
  5. Step 5: Solve for x
    x = 49,558,773,924/101,622
  6. Step 6: Final answer
    x = 487,677.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.