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Finding the Third Proportional to 51,821.34 and 109,870.31

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Solution

The third proportional to 51,821.34 and 109,870.31 is: 232,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821.34 : 109,870.31 = 109,870.31 : x
  2. Step 2: Convert to fraction form
    51,821.34/109,870.31 = 109,870.31/x
  3. Step 3: Cross multiply
    51,821.34x = 109,870.31 × 109,870.31
  4. Step 4: Simplify right side
    51,821.34x = 12,071,485,568.85
  5. Step 5: Solve for x
    x = 12,071,485,568.85/51,821.34
  6. Step 6: Final answer
    x = 232,944.28

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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.