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Finding the Third Proportional to 164,477,227 and 365,719,166

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Solution

The third proportional to 164,477,227 and 365,719,166 is: 813,185,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477,227 : 365,719,166 = 365,719,166 : x
  2. Step 2: Convert to fraction form
    164,477,227/365,719,166 = 365,719,166/x
  3. Step 3: Cross multiply
    164,477,227x = 365,719,166 × 365,719,166
  4. Step 4: Simplify right side
    164,477,227x = 133,750,508,379,735,552
  5. Step 5: Solve for x
    x = 133,750,508,379,735,552/164,477,227
  6. Step 6: Final answer
    x = 813,185,574.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.