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Finding the Third Proportional to 99,024 and 201,888

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Solution

The third proportional to 99,024 and 201,888 is: 411,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,024 : 201,888 = 201,888 : x
  2. Step 2: Convert to fraction form
    99,024/201,888 = 201,888/x
  3. Step 3: Cross multiply
    99,024x = 201,888 × 201,888
  4. Step 4: Simplify right side
    99,024x = 40,758,764,544
  5. Step 5: Solve for x
    x = 40,758,764,544/99,024
  6. Step 6: Final answer
    x = 411,604.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.