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Finding the Third Proportional to 48,485.25 and 102,839.63

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Solution

The third proportional to 48,485.25 and 102,839.63 is: 218,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,485.25 : 102,839.63 = 102,839.63 : x
  2. Step 2: Convert to fraction form
    48,485.25/102,839.63 = 102,839.63/x
  3. Step 3: Cross multiply
    48,485.25x = 102,839.63 × 102,839.63
  4. Step 4: Simplify right side
    48,485.25x = 10,575,988,470.14
  5. Step 5: Solve for x
    x = 10,575,988,470.14/48,485.25
  6. Step 6: Final answer
    x = 218,127.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.