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Finding the Third Proportional to 170,827,936 and 264,736,104

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Solution

The third proportional to 170,827,936 and 264,736,104 is: 410,267,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,827,936 : 264,736,104 = 264,736,104 : x
  2. Step 2: Convert to fraction form
    170,827,936/264,736,104 = 264,736,104/x
  3. Step 3: Cross multiply
    170,827,936x = 264,736,104 × 264,736,104
  4. Step 4: Simplify right side
    170,827,936x = 70,085,204,761,098,816
  5. Step 5: Solve for x
    x = 70,085,204,761,098,816/170,827,936
  6. Step 6: Final answer
    x = 410,267,819.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.