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Finding the Third Proportional to 203,412,459 and 441,501,409.50

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Solution

The third proportional to 203,412,459 and 441,501,409.50 is: 958,267,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412,459 : 441,501,409.50 = 441,501,409.50 : x
  2. Step 2: Convert to fraction form
    203,412,459/441,501,409.50 = 441,501,409.50/x
  3. Step 3: Cross multiply
    203,412,459x = 441,501,409.50 × 441,501,409.50
  4. Step 4: Simplify right side
    203,412,459x = 194,923,494,590,486,688
  5. Step 5: Solve for x
    x = 194,923,494,590,486,688/203,412,459
  6. Step 6: Final answer
    x = 958,267,234.71

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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.