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Finding the Third Proportional to 90,189,560.50 and 193,133,690

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Solution

The third proportional to 90,189,560.50 and 193,133,690 is: 413,580,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,560.50 : 193,133,690 = 193,133,690 : x
  2. Step 2: Convert to fraction form
    90,189,560.50/193,133,690 = 193,133,690/x
  3. Step 3: Cross multiply
    90,189,560.50x = 193,133,690 × 193,133,690
  4. Step 4: Simplify right side
    90,189,560.50x = 37,300,622,213,016,096
  5. Step 5: Solve for x
    x = 37,300,622,213,016,096/90,189,560.50
  6. Step 6: Final answer
    x = 413,580,263.68

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Why These Related Problems?

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