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Finding the Third Proportional to 251,004,204 and 543,688,056

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Solution

The third proportional to 251,004,204 and 543,688,056 is: 1,177,656,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,004,204 : 543,688,056 = 543,688,056 : x
  2. Step 2: Convert to fraction form
    251,004,204/543,688,056 = 543,688,056/x
  3. Step 3: Cross multiply
    251,004,204x = 543,688,056 × 543,688,056
  4. Step 4: Simplify right side
    251,004,204x = 295,596,702,237,059,136
  5. Step 5: Solve for x
    x = 295,596,702,237,059,136/251,004,204
  6. Step 6: Final answer
    x = 1,177,656,379.96

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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.