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Finding the Third Proportional to 45,228 and 98,238

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Solution

The third proportional to 45,228 and 98,238 is: 213,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228 : 98,238 = 98,238 : x
  2. Step 2: Convert to fraction form
    45,228/98,238 = 98,238/x
  3. Step 3: Cross multiply
    45,228x = 98,238 × 98,238
  4. Step 4: Simplify right side
    45,228x = 9,650,704,644
  5. Step 5: Solve for x
    x = 9,650,704,644/45,228
  6. Step 6: Final answer
    x = 213,378.98

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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.