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Finding the Third Proportional to 180,185,511 and 393,399,096

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Solution

The third proportional to 180,185,511 and 393,399,096 is: 858,908,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,511 : 393,399,096 = 393,399,096 : x
  2. Step 2: Convert to fraction form
    180,185,511/393,399,096 = 393,399,096/x
  3. Step 3: Cross multiply
    180,185,511x = 393,399,096 × 393,399,096
  4. Step 4: Simplify right side
    180,185,511x = 154,762,848,733,617,216
  5. Step 5: Solve for x
    x = 154,762,848,733,617,216/180,185,511
  6. Step 6: Final answer
    x = 858,908,398.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.