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Finding the Third Proportional to 180,185,493.38 and 393,399,054

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Solution

The third proportional to 180,185,493.38 and 393,399,054 is: 858,908,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,493.38 : 393,399,054 = 393,399,054 : x
  2. Step 2: Convert to fraction form
    180,185,493.38/393,399,054 = 393,399,054/x
  3. Step 3: Cross multiply
    180,185,493.38x = 393,399,054 × 393,399,054
  4. Step 4: Simplify right side
    180,185,493.38x = 154,762,815,688,094,912
  5. Step 5: Solve for x
    x = 154,762,815,688,094,912/180,185,493.38
  6. Step 6: Final answer
    x = 858,908,299.38

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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.