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Finding the Third Proportional to 116,414,452 and 194,012,394

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Solution

The third proportional to 116,414,452 and 194,012,394 is: 323,334,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,414,452 : 194,012,394 = 194,012,394 : x
  2. Step 2: Convert to fraction form
    116,414,452/194,012,394 = 194,012,394/x
  3. Step 3: Cross multiply
    116,414,452x = 194,012,394 × 194,012,394
  4. Step 4: Simplify right side
    116,414,452x = 37,640,809,025,611,232
  5. Step 5: Solve for x
    x = 37,640,809,025,611,232/116,414,452
  6. Step 6: Final answer
    x = 323,334,503.40

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.