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Finding the Third Proportional to 215,194,255 and 460,306,668

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Solution

The third proportional to 215,194,255 and 460,306,668 is: 984,609,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,194,255 : 460,306,668 = 460,306,668 : x
  2. Step 2: Convert to fraction form
    215,194,255/460,306,668 = 460,306,668/x
  3. Step 3: Cross multiply
    215,194,255x = 460,306,668 × 460,306,668
  4. Step 4: Simplify right side
    215,194,255x = 211,882,228,605,262,208
  5. Step 5: Solve for x
    x = 211,882,228,605,262,208/215,194,255
  6. Step 6: Final answer
    x = 984,609,131.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.