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Finding the Third Proportional to 101,874 and 222,681

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Solution

The third proportional to 101,874 and 222,681 is: 486,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874 : 222,681 = 222,681 : x
  2. Step 2: Convert to fraction form
    101,874/222,681 = 222,681/x
  3. Step 3: Cross multiply
    101,874x = 222,681 × 222,681
  4. Step 4: Simplify right side
    101,874x = 49,586,827,761
  5. Step 5: Solve for x
    x = 49,586,827,761/101,874
  6. Step 6: Final answer
    x = 486,746.65

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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.