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Finding the Third Proportional to 222,591,474 and 296,754,943.50

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Solution

The third proportional to 222,591,474 and 296,754,943.50 is: 395,628,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,591,474 : 296,754,943.50 = 296,754,943.50 : x
  2. Step 2: Convert to fraction form
    222,591,474/296,754,943.50 = 296,754,943.50/x
  3. Step 3: Cross multiply
    222,591,474x = 296,754,943.50 × 296,754,943.50
  4. Step 4: Simplify right side
    222,591,474x = 88,063,496,491,688,192
  5. Step 5: Solve for x
    x = 88,063,496,491,688,192/222,591,474
  6. Step 6: Final answer
    x = 395,628,345.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.