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Finding the Third Proportional to 50,811,996 and 108,178,504

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Solution

The third proportional to 50,811,996 and 108,178,504 is: 230,311,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811,996 : 108,178,504 = 108,178,504 : x
  2. Step 2: Convert to fraction form
    50,811,996/108,178,504 = 108,178,504/x
  3. Step 3: Cross multiply
    50,811,996x = 108,178,504 × 108,178,504
  4. Step 4: Simplify right side
    50,811,996x = 11,702,588,727,678,016
  5. Step 5: Solve for x
    x = 11,702,588,727,678,016/50,811,996
  6. Step 6: Final answer
    x = 230,311,533.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.