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Finding the Third Proportional to 87,836,706 and 190,794,150

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Solution

The third proportional to 87,836,706 and 190,794,150 is: 414,432,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836,706 : 190,794,150 = 190,794,150 : x
  2. Step 2: Convert to fraction form
    87,836,706/190,794,150 = 190,794,150/x
  3. Step 3: Cross multiply
    87,836,706x = 190,794,150 × 190,794,150
  4. Step 4: Simplify right side
    87,836,706x = 36,402,407,674,222,496
  5. Step 5: Solve for x
    x = 36,402,407,674,222,496/87,836,706
  6. Step 6: Final answer
    x = 414,432,750.63

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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.