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Finding the Third Proportional to 47,383.88 and 105,276.38

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Solution

The third proportional to 47,383.88 and 105,276.38 is: 233,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,383.88 : 105,276.38 = 105,276.38 : x
  2. Step 2: Convert to fraction form
    47,383.88/105,276.38 = 105,276.38/x
  3. Step 3: Cross multiply
    47,383.88x = 105,276.38 × 105,276.38
  4. Step 4: Simplify right side
    47,383.88x = 11,083,115,133.14
  5. Step 5: Solve for x
    x = 11,083,115,133.14/47,383.88
  6. Step 6: Final answer
    x = 233,900.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.