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Finding the Third Proportional to 45,398 and 96,203

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Solution

The third proportional to 45,398 and 96,203 is: 203,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,398 : 96,203 = 96,203 : x
  2. Step 2: Convert to fraction form
    45,398/96,203 = 96,203/x
  3. Step 3: Cross multiply
    45,398x = 96,203 × 96,203
  4. Step 4: Simplify right side
    45,398x = 9,255,017,209
  5. Step 5: Solve for x
    x = 9,255,017,209/45,398
  6. Step 6: Final answer
    x = 203,863.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.