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Finding the Third Proportional to 180,809,891.75 and 392,443,361.75

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Solution

The third proportional to 180,809,891.75 and 392,443,361.75 is: 851,788,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,891.75 : 392,443,361.75 = 392,443,361.75 : x
  2. Step 2: Convert to fraction form
    180,809,891.75/392,443,361.75 = 392,443,361.75/x
  3. Step 3: Cross multiply
    180,809,891.75x = 392,443,361.75 × 392,443,361.75
  4. Step 4: Simplify right side
    180,809,891.75x = 154,011,792,181,641,376
  5. Step 5: Solve for x
    x = 154,011,792,181,641,376/180,809,891.75
  6. Step 6: Final answer
    x = 851,788,531.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.