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Finding the Third Proportional to 90,189,544.50 and 193,133,659.50

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Solution

The third proportional to 90,189,544.50 and 193,133,659.50 is: 413,580,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,544.50 : 193,133,659.50 = 193,133,659.50 : x
  2. Step 2: Convert to fraction form
    90,189,544.50/193,133,659.50 = 193,133,659.50/x
  3. Step 3: Cross multiply
    90,189,544.50x = 193,133,659.50 × 193,133,659.50
  4. Step 4: Simplify right side
    90,189,544.50x = 37,300,610,431,861,944
  5. Step 5: Solve for x
    x = 37,300,610,431,861,944/90,189,544.50
  6. Step 6: Final answer
    x = 413,580,206.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.