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Finding the Third Proportional to 45,814 and 99,104

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Solution

The third proportional to 45,814 and 99,104 is: 214,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,814 : 99,104 = 99,104 : x
  2. Step 2: Convert to fraction form
    45,814/99,104 = 99,104/x
  3. Step 3: Cross multiply
    45,814x = 99,104 × 99,104
  4. Step 4: Simplify right side
    45,814x = 9,821,602,816
  5. Step 5: Solve for x
    x = 9,821,602,816/45,814
  6. Step 6: Final answer
    x = 214,379.95

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Why These Related Problems?

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