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Finding the Third Proportional to 51,508,302 and 109,157,700

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Solution

The third proportional to 51,508,302 and 109,157,700 is: 231,329,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508,302 : 109,157,700 = 109,157,700 : x
  2. Step 2: Convert to fraction form
    51,508,302/109,157,700 = 109,157,700/x
  3. Step 3: Cross multiply
    51,508,302x = 109,157,700 × 109,157,700
  4. Step 4: Simplify right side
    51,508,302x = 11,915,403,469,290,000
  5. Step 5: Solve for x
    x = 11,915,403,469,290,000/51,508,302
  6. Step 6: Final answer
    x = 231,329,766.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.