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Finding the Third Proportional to 101,976.75 and 224,118

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Solution

The third proportional to 101,976.75 and 224,118 is: 492,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.75 : 224,118 = 224,118 : x
  2. Step 2: Convert to fraction form
    101,976.75/224,118 = 224,118/x
  3. Step 3: Cross multiply
    101,976.75x = 224,118 × 224,118
  4. Step 4: Simplify right side
    101,976.75x = 50,228,877,924
  5. Step 5: Solve for x
    x = 50,228,877,924/101,976.75
  6. Step 6: Final answer
    x = 492,552.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.