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Finding the Third Proportional to 170,328,523.50 and 255,209,427

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Solution

The third proportional to 170,328,523.50 and 255,209,427 is: 382,389,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,328,523.50 : 255,209,427 = 255,209,427 : x
  2. Step 2: Convert to fraction form
    170,328,523.50/255,209,427 = 255,209,427/x
  3. Step 3: Cross multiply
    170,328,523.50x = 255,209,427 × 255,209,427
  4. Step 4: Simplify right side
    170,328,523.50x = 65,131,851,629,668,328
  5. Step 5: Solve for x
    x = 65,131,851,629,668,328/170,328,523.50
  6. Step 6: Final answer
    x = 382,389,574.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.