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Finding the Third Proportional to 170,525,976 and 263,937,780

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Solution

The third proportional to 170,525,976 and 263,937,780 is: 408,519,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,525,976 : 263,937,780 = 263,937,780 : x
  2. Step 2: Convert to fraction form
    170,525,976/263,937,780 = 263,937,780/x
  3. Step 3: Cross multiply
    170,525,976x = 263,937,780 × 263,937,780
  4. Step 4: Simplify right side
    170,525,976x = 69,663,151,711,328,400
  5. Step 5: Solve for x
    x = 69,663,151,711,328,400/170,525,976
  6. Step 6: Final answer
    x = 408,519,296.27

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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.