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Finding the Third Proportional to 211,477,959 and 323,295,294

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Solution

The third proportional to 211,477,959 and 323,295,294 is: 494,235,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,959 : 323,295,294 = 323,295,294 : x
  2. Step 2: Convert to fraction form
    211,477,959/323,295,294 = 323,295,294/x
  3. Step 3: Cross multiply
    211,477,959x = 323,295,294 × 323,295,294
  4. Step 4: Simplify right side
    211,477,959x = 104,519,847,122,546,432
  5. Step 5: Solve for x
    x = 104,519,847,122,546,432/211,477,959
  6. Step 6: Final answer
    x = 494,235,179.95

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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.