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Finding the Third Proportional to 89,731,684.50 and 194,777,666.25

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Solution

The third proportional to 89,731,684.50 and 194,777,666.25 is: 422,797,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,684.50 : 194,777,666.25 = 194,777,666.25 : x
  2. Step 2: Convert to fraction form
    89,731,684.50/194,777,666.25 = 194,777,666.25/x
  3. Step 3: Cross multiply
    89,731,684.50x = 194,777,666.25 × 194,777,666.25
  4. Step 4: Simplify right side
    89,731,684.50x = 37,938,339,269,796,392
  5. Step 5: Solve for x
    x = 37,938,339,269,796,392/89,731,684.50
  6. Step 6: Final answer
    x = 422,797,582.38

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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.