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Finding the Third Proportional to 290,347,969 and 443,853,825.50

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Solution

The third proportional to 290,347,969 and 443,853,825.50 is: 678,517,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347,969 : 443,853,825.50 = 443,853,825.50 : x
  2. Step 2: Convert to fraction form
    290,347,969/443,853,825.50 = 443,853,825.50/x
  3. Step 3: Cross multiply
    290,347,969x = 443,853,825.50 × 443,853,825.50
  4. Step 4: Simplify right side
    290,347,969x = 197,006,218,410,984,448
  5. Step 5: Solve for x
    x = 197,006,218,410,984,448/290,347,969
  6. Step 6: Final answer
    x = 678,517,638.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.