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Finding the Third Proportional to 166,095,319.50 and 363,470,611.50

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Solution

The third proportional to 166,095,319.50 and 363,470,611.50 is: 795,391,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,095,319.50 : 363,470,611.50 = 363,470,611.50 : x
  2. Step 2: Convert to fraction form
    166,095,319.50/363,470,611.50 = 363,470,611.50/x
  3. Step 3: Cross multiply
    166,095,319.50x = 363,470,611.50 × 363,470,611.50
  4. Step 4: Simplify right side
    166,095,319.50x = 132,110,885,424,183,936
  5. Step 5: Solve for x
    x = 132,110,885,424,183,936/166,095,319.50
  6. Step 6: Final answer
    x = 795,391,982.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.