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Finding the Third Proportional to 48,761.16 and 106,817.06

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Solution

The third proportional to 48,761.16 and 106,817.06 is: 233,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.16 : 106,817.06 = 106,817.06 : x
  2. Step 2: Convert to fraction form
    48,761.16/106,817.06 = 106,817.06/x
  3. Step 3: Cross multiply
    48,761.16x = 106,817.06 × 106,817.06
  4. Step 4: Simplify right side
    48,761.16x = 11,409,884,841.13
  5. Step 5: Solve for x
    x = 11,409,884,841.13/48,761.16
  6. Step 6: Final answer
    x = 233,995.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.