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Finding the Third Proportional to 103,998.94 and 224,602.88

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Solution

The third proportional to 103,998.94 and 224,602.88 is: 485,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,998.94 : 224,602.88 = 224,602.88 : x
  2. Step 2: Convert to fraction form
    103,998.94/224,602.88 = 224,602.88/x
  3. Step 3: Cross multiply
    103,998.94x = 224,602.88 × 224,602.88
  4. Step 4: Simplify right side
    103,998.94x = 50,446,451,458.27
  5. Step 5: Solve for x
    x = 50,446,451,458.27/103,998.94
  6. Step 6: Final answer
    x = 485,066.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.