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Finding the Third Proportional to 136,508,834.25 and 193,155,816.38

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Solution

The third proportional to 136,508,834.25 and 193,155,816.38 is: 273,309,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,834.25 : 193,155,816.38 = 193,155,816.38 : x
  2. Step 2: Convert to fraction form
    136,508,834.25/193,155,816.38 = 193,155,816.38/x
  3. Step 3: Cross multiply
    136,508,834.25x = 193,155,816.38 × 193,155,816.38
  4. Step 4: Simplify right side
    136,508,834.25x = 37,309,169,399,492,720
  5. Step 5: Solve for x
    x = 37,309,169,399,492,720/136,508,834.25
  6. Step 6: Final answer
    x = 273,309,559.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.