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Finding the Third Proportional to 87,836,693 and 190,794,123

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Solution

The third proportional to 87,836,693 and 190,794,123 is: 414,432,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836,693 : 190,794,123 = 190,794,123 : x
  2. Step 2: Convert to fraction form
    87,836,693/190,794,123 = 190,794,123/x
  3. Step 3: Cross multiply
    87,836,693x = 190,794,123 × 190,794,123
  4. Step 4: Simplify right side
    87,836,693x = 36,402,397,371,339,128
  5. Step 5: Solve for x
    x = 36,402,397,371,339,128/87,836,693
  6. Step 6: Final answer
    x = 414,432,694.68

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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.