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Finding the Third Proportional to 47,931.75 and 103,797.56

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Solution

The third proportional to 47,931.75 and 103,797.56 is: 224,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.75 : 103,797.56 = 103,797.56 : x
  2. Step 2: Convert to fraction form
    47,931.75/103,797.56 = 103,797.56/x
  3. Step 3: Cross multiply
    47,931.75x = 103,797.56 × 103,797.56
  4. Step 4: Simplify right side
    47,931.75x = 10,773,933,980.94
  5. Step 5: Solve for x
    x = 10,773,933,980.94/47,931.75
  6. Step 6: Final answer
    x = 224,776.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.