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Finding the Third Proportional to 76,866,138 and 167,915,700

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Solution

The third proportional to 76,866,138 and 167,915,700 is: 366,815,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866,138 : 167,915,700 = 167,915,700 : x
  2. Step 2: Convert to fraction form
    76,866,138/167,915,700 = 167,915,700/x
  3. Step 3: Cross multiply
    76,866,138x = 167,915,700 × 167,915,700
  4. Step 4: Simplify right side
    76,866,138x = 28,195,682,306,490,000
  5. Step 5: Solve for x
    x = 28,195,682,306,490,000/76,866,138
  6. Step 6: Final answer
    x = 366,815,388.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.