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Finding the Third Proportional to 45,942 and 99,228

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Solution

The third proportional to 45,942 and 99,228 is: 214,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942 : 99,228 = 99,228 : x
  2. Step 2: Convert to fraction form
    45,942/99,228 = 99,228/x
  3. Step 3: Cross multiply
    45,942x = 99,228 × 99,228
  4. Step 4: Simplify right side
    45,942x = 9,846,195,984
  5. Step 5: Solve for x
    x = 9,846,195,984/45,942
  6. Step 6: Final answer
    x = 214,317.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.