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Finding the Third Proportional to 42,143,965.50 and 91,945,306.50

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Solution

The third proportional to 42,143,965.50 and 91,945,306.50 is: 200,596,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143,965.50 : 91,945,306.50 = 91,945,306.50 : x
  2. Step 2: Convert to fraction form
    42,143,965.50/91,945,306.50 = 91,945,306.50/x
  3. Step 3: Cross multiply
    42,143,965.50x = 91,945,306.50 × 91,945,306.50
  4. Step 4: Simplify right side
    42,143,965.50x = 8,453,939,387,378,942
  5. Step 5: Solve for x
    x = 8,453,939,387,378,942/42,143,965.50
  6. Step 6: Final answer
    x = 200,596,675.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.