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Finding the Third Proportional to 193,807,912.50 and 290,853,614.25

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Solution

The third proportional to 193,807,912.50 and 290,853,614.25 is: 436,493,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807,912.50 : 290,853,614.25 = 290,853,614.25 : x
  2. Step 2: Convert to fraction form
    193,807,912.50/290,853,614.25 = 290,853,614.25/x
  3. Step 3: Cross multiply
    193,807,912.50x = 290,853,614.25 × 290,853,614.25
  4. Step 4: Simplify right side
    193,807,912.50x = 84,595,824,922,287,808
  5. Step 5: Solve for x
    x = 84,595,824,922,287,808/193,807,912.50
  6. Step 6: Final answer
    x = 436,493,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.