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Finding the Third Proportional to 100,477 and 216,728

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Solution

The third proportional to 100,477 and 216,728 is: 467,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477 : 216,728 = 216,728 : x
  2. Step 2: Convert to fraction form
    100,477/216,728 = 216,728/x
  3. Step 3: Cross multiply
    100,477x = 216,728 × 216,728
  4. Step 4: Simplify right side
    100,477x = 46,971,025,984
  5. Step 5: Solve for x
    x = 46,971,025,984/100,477
  6. Step 6: Final answer
    x = 467,480.38

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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.