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Finding the Third Proportional to 99,652 and 215,036

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Solution

The third proportional to 99,652 and 215,036 is: 464,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652 : 215,036 = 215,036 : x
  2. Step 2: Convert to fraction form
    99,652/215,036 = 215,036/x
  3. Step 3: Cross multiply
    99,652x = 215,036 × 215,036
  4. Step 4: Simplify right side
    99,652x = 46,240,481,296
  5. Step 5: Solve for x
    x = 46,240,481,296/99,652
  6. Step 6: Final answer
    x = 464,019.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.