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Finding the Third Proportional to 48,733.31 and 105,804.56

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Solution

The third proportional to 48,733.31 and 105,804.56 is: 229,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,733.31 : 105,804.56 = 105,804.56 : x
  2. Step 2: Convert to fraction form
    48,733.31/105,804.56 = 105,804.56/x
  3. Step 3: Cross multiply
    48,733.31x = 105,804.56 × 105,804.56
  4. Step 4: Simplify right side
    48,733.31x = 11,194,605,445.82
  5. Step 5: Solve for x
    x = 11,194,605,445.82/48,733.31
  6. Step 6: Final answer
    x = 229,711.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.