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Finding the Third Proportional to 99,953 and 214,728

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Solution

The third proportional to 99,953 and 214,728 is: 461,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,953 : 214,728 = 214,728 : x
  2. Step 2: Convert to fraction form
    99,953/214,728 = 214,728/x
  3. Step 3: Cross multiply
    99,953x = 214,728 × 214,728
  4. Step 4: Simplify right side
    99,953x = 46,108,113,984
  5. Step 5: Solve for x
    x = 46,108,113,984/99,953
  6. Step 6: Final answer
    x = 461,297.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.