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Finding the Third Proportional to 99,925 and 214,673

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Solution

The third proportional to 99,925 and 214,673 is: 461,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925 : 214,673 = 214,673 : x
  2. Step 2: Convert to fraction form
    99,925/214,673 = 214,673/x
  3. Step 3: Cross multiply
    99,925x = 214,673 × 214,673
  4. Step 4: Simplify right side
    99,925x = 46,084,496,929
  5. Step 5: Solve for x
    x = 46,084,496,929/99,925
  6. Step 6: Final answer
    x = 461,190.86

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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.