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Finding the Third Proportional to 87,366,722 and 189,584,090

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Solution

The third proportional to 87,366,722 and 189,584,090 is: 411,393,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,366,722 : 189,584,090 = 189,584,090 : x
  2. Step 2: Convert to fraction form
    87,366,722/189,584,090 = 189,584,090/x
  3. Step 3: Cross multiply
    87,366,722x = 189,584,090 × 189,584,090
  4. Step 4: Simplify right side
    87,366,722x = 35,942,127,181,128,100
  5. Step 5: Solve for x
    x = 35,942,127,181,128,100/87,366,722
  6. Step 6: Final answer
    x = 411,393,793.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.