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Finding the Third Proportional to 51,098.34 and 110,944.69

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Solution

The third proportional to 51,098.34 and 110,944.69 is: 240,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098.34 : 110,944.69 = 110,944.69 : x
  2. Step 2: Convert to fraction form
    51,098.34/110,944.69 = 110,944.69/x
  3. Step 3: Cross multiply
    51,098.34x = 110,944.69 × 110,944.69
  4. Step 4: Simplify right side
    51,098.34x = 12,308,723,684.47
  5. Step 5: Solve for x
    x = 12,308,723,684.47/51,098.34
  6. Step 6: Final answer
    x = 240,883.03

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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.