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Finding the Third Proportional to 45,165 and 99,318

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Solution

The third proportional to 45,165 and 99,318 is: 218,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,165 : 99,318 = 99,318 : x
  2. Step 2: Convert to fraction form
    45,165/99,318 = 99,318/x
  3. Step 3: Cross multiply
    45,165x = 99,318 × 99,318
  4. Step 4: Simplify right side
    45,165x = 9,864,065,124
  5. Step 5: Solve for x
    x = 9,864,065,124/45,165
  6. Step 6: Final answer
    x = 218,400.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.