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Finding the Third Proportional to 211,477,955 and 323,295,288

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Solution

The third proportional to 211,477,955 and 323,295,288 is: 494,235,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,955 : 323,295,288 = 323,295,288 : x
  2. Step 2: Convert to fraction form
    211,477,955/323,295,288 = 323,295,288/x
  3. Step 3: Cross multiply
    211,477,955x = 323,295,288 × 323,295,288
  4. Step 4: Simplify right side
    211,477,955x = 104,519,843,243,002,944
  5. Step 5: Solve for x
    x = 104,519,843,243,002,944/211,477,955
  6. Step 6: Final answer
    x = 494,235,170.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.