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Finding the Third Proportional to 166,095,074 and 363,470,126

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Solution

The third proportional to 166,095,074 and 363,470,126 is: 795,391,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,095,074 : 363,470,126 = 363,470,126 : x
  2. Step 2: Convert to fraction form
    166,095,074/363,470,126 = 363,470,126/x
  3. Step 3: Cross multiply
    166,095,074x = 363,470,126 × 363,470,126
  4. Step 4: Simplify right side
    166,095,074x = 132,110,532,494,455,872
  5. Step 5: Solve for x
    x = 132,110,532,494,455,872/166,095,074
  6. Step 6: Final answer
    x = 795,391,033.06

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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.