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Finding the Third Proportional to 269,550,230 and 394,216,521

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Solution

The third proportional to 269,550,230 and 394,216,521 is: 576,540,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,550,230 : 394,216,521 = 394,216,521 : x
  2. Step 2: Convert to fraction form
    269,550,230/394,216,521 = 394,216,521/x
  3. Step 3: Cross multiply
    269,550,230x = 394,216,521 × 394,216,521
  4. Step 4: Simplify right side
    269,550,230x = 155,406,665,429,343,456
  5. Step 5: Solve for x
    x = 155,406,665,429,343,456/269,550,230
  6. Step 6: Final answer
    x = 576,540,652.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.