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Finding the Third Proportional to 48,310.31 and 106,254.56

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Solution

The third proportional to 48,310.31 and 106,254.56 is: 233,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,310.31 : 106,254.56 = 106,254.56 : x
  2. Step 2: Convert to fraction form
    48,310.31/106,254.56 = 106,254.56/x
  3. Step 3: Cross multiply
    48,310.31x = 106,254.56 × 106,254.56
  4. Step 4: Simplify right side
    48,310.31x = 11,290,032,052.07
  5. Step 5: Solve for x
    x = 11,290,032,052.07/48,310.31
  6. Step 6: Final answer
    x = 233,698.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.