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Finding the Third Proportional to 49,150.13 and 105,303.38

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Solution

The third proportional to 49,150.13 and 105,303.38 is: 225,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150.13 : 105,303.38 = 105,303.38 : x
  2. Step 2: Convert to fraction form
    49,150.13/105,303.38 = 105,303.38/x
  3. Step 3: Cross multiply
    49,150.13x = 105,303.38 × 105,303.38
  4. Step 4: Simplify right side
    49,150.13x = 11,088,800,786.39
  5. Step 5: Solve for x
    x = 11,088,800,786.39/49,150.13
  6. Step 6: Final answer
    x = 225,610.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.