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Finding the Third Proportional to 110,883.94 and 242,758.27

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Solution

The third proportional to 110,883.94 and 242,758.27 is: 531,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,883.94 : 242,758.27 = 242,758.27 : x
  2. Step 2: Convert to fraction form
    110,883.94/242,758.27 = 242,758.27/x
  3. Step 3: Cross multiply
    110,883.94x = 242,758.27 × 242,758.27
  4. Step 4: Simplify right side
    110,883.94x = 58,931,575,529.26
  5. Step 5: Solve for x
    x = 58,931,575,529.26/110,883.94
  6. Step 6: Final answer
    x = 531,470.81

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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.