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Finding the Third Proportional to 218,356,056 and 466,945,200

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Solution

The third proportional to 218,356,056 and 466,945,200 is: 998,542,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,356,056 : 466,945,200 = 466,945,200 : x
  2. Step 2: Convert to fraction form
    218,356,056/466,945,200 = 466,945,200/x
  3. Step 3: Cross multiply
    218,356,056x = 466,945,200 × 466,945,200
  4. Step 4: Simplify right side
    218,356,056x = 218,037,819,803,040,000
  5. Step 5: Solve for x
    x = 218,037,819,803,040,000/218,356,056
  6. Step 6: Final answer
    x = 998,542,581.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.