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Finding the Third Proportional to 90,189,566 and 193,133,702

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Solution

The third proportional to 90,189,566 and 193,133,702 is: 413,580,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,566 : 193,133,702 = 193,133,702 : x
  2. Step 2: Convert to fraction form
    90,189,566/193,133,702 = 193,133,702/x
  3. Step 3: Cross multiply
    90,189,566x = 193,133,702 × 193,133,702
  4. Step 4: Simplify right side
    90,189,566x = 37,300,626,848,224,800
  5. Step 5: Solve for x
    x = 37,300,626,848,224,800/90,189,566
  6. Step 6: Final answer
    x = 413,580,289.86

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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.