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Finding the Third Proportional to 45,222 and 98,228

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Solution

The third proportional to 45,222 and 98,228 is: 213,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,222 : 98,228 = 98,228 : x
  2. Step 2: Convert to fraction form
    45,222/98,228 = 98,228/x
  3. Step 3: Cross multiply
    45,222x = 98,228 × 98,228
  4. Step 4: Simplify right side
    45,222x = 9,648,739,984
  5. Step 5: Solve for x
    x = 9,648,739,984/45,222
  6. Step 6: Final answer
    x = 213,363.85

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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.