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Finding the Third Proportional to 45,484 and 96,800

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Solution

The third proportional to 45,484 and 96,800 is: 206,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,484 : 96,800 = 96,800 : x
  2. Step 2: Convert to fraction form
    45,484/96,800 = 96,800/x
  3. Step 3: Cross multiply
    45,484x = 96,800 × 96,800
  4. Step 4: Simplify right side
    45,484x = 9,370,240,000
  5. Step 5: Solve for x
    x = 9,370,240,000/45,484
  6. Step 6: Final answer
    x = 206,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.