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Finding the Third Proportional to 260,311,668 and 345,472,164

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Solution

The third proportional to 260,311,668 and 345,472,164 is: 458,492,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,311,668 : 345,472,164 = 345,472,164 : x
  2. Step 2: Convert to fraction form
    260,311,668/345,472,164 = 345,472,164/x
  3. Step 3: Cross multiply
    260,311,668x = 345,472,164 × 345,472,164
  4. Step 4: Simplify right side
    260,311,668x = 119,351,016,098,842,896
  5. Step 5: Solve for x
    x = 119,351,016,098,842,896/260,311,668
  6. Step 6: Final answer
    x = 458,492,763.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.