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Finding the Third Proportional to 48,090.38 and 105,406.31

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Solution

The third proportional to 48,090.38 and 105,406.31 is: 231,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090.38 : 105,406.31 = 105,406.31 : x
  2. Step 2: Convert to fraction form
    48,090.38/105,406.31 = 105,406.31/x
  3. Step 3: Cross multiply
    48,090.38x = 105,406.31 × 105,406.31
  4. Step 4: Simplify right side
    48,090.38x = 11,110,490,714.85
  5. Step 5: Solve for x
    x = 11,110,490,714.85/48,090.38
  6. Step 6: Final answer
    x = 231,033.56

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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.