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Finding the Third Proportional to 89,731,627.50 and 194,777,551.50

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Solution

The third proportional to 89,731,627.50 and 194,777,551.50 is: 422,797,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,627.50 : 194,777,551.50 = 194,777,551.50 : x
  2. Step 2: Convert to fraction form
    89,731,627.50/194,777,551.50 = 194,777,551.50/x
  3. Step 3: Cross multiply
    89,731,627.50x = 194,777,551.50 × 194,777,551.50
  4. Step 4: Simplify right side
    89,731,627.50x = 37,938,294,568,335,152
  5. Step 5: Solve for x
    x = 37,938,294,568,335,152/89,731,627.50
  6. Step 6: Final answer
    x = 422,797,352.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.