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Finding the Third Proportional to 48,736.69 and 105,008.06

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Solution

The third proportional to 48,736.69 and 105,008.06 is: 226,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736.69 : 105,008.06 = 105,008.06 : x
  2. Step 2: Convert to fraction form
    48,736.69/105,008.06 = 105,008.06/x
  3. Step 3: Cross multiply
    48,736.69x = 105,008.06 × 105,008.06
  4. Step 4: Simplify right side
    48,736.69x = 11,026,693,190.00
  5. Step 5: Solve for x
    x = 11,026,693,190.00/48,736.69
  6. Step 6: Final answer
    x = 226,250.36

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