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Finding the Third Proportional to 92,972 and 203,224

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Solution

The third proportional to 92,972 and 203,224 is: 444,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,972 : 203,224 = 203,224 : x
  2. Step 2: Convert to fraction form
    92,972/203,224 = 203,224/x
  3. Step 3: Cross multiply
    92,972x = 203,224 × 203,224
  4. Step 4: Simplify right side
    92,972x = 41,299,994,176
  5. Step 5: Solve for x
    x = 41,299,994,176/92,972
  6. Step 6: Final answer
    x = 444,219.70

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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.