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Finding the Third Proportional to 107,440,713 and 230,199,084

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Solution

The third proportional to 107,440,713 and 230,199,084 is: 493,217,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,440,713 : 230,199,084 = 230,199,084 : x
  2. Step 2: Convert to fraction form
    107,440,713/230,199,084 = 230,199,084/x
  3. Step 3: Cross multiply
    107,440,713x = 230,199,084 × 230,199,084
  4. Step 4: Simplify right side
    107,440,713x = 52,991,618,274,439,056
  5. Step 5: Solve for x
    x = 52,991,618,274,439,056/107,440,713
  6. Step 6: Final answer
    x = 493,217,299.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.