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Finding the Third Proportional to 45,224 and 98,230

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Solution

The third proportional to 45,224 and 98,230 is: 213,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224 : 98,230 = 98,230 : x
  2. Step 2: Convert to fraction form
    45,224/98,230 = 98,230/x
  3. Step 3: Cross multiply
    45,224x = 98,230 × 98,230
  4. Step 4: Simplify right side
    45,224x = 9,649,132,900
  5. Step 5: Solve for x
    x = 9,649,132,900/45,224
  6. Step 6: Final answer
    x = 213,363.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.