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Finding the Third Proportional to 268,470,452 and 414,197,186

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Solution

The third proportional to 268,470,452 and 414,197,186 is: 639,024,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,470,452 : 414,197,186 = 414,197,186 : x
  2. Step 2: Convert to fraction form
    268,470,452/414,197,186 = 414,197,186/x
  3. Step 3: Cross multiply
    268,470,452x = 414,197,186 × 414,197,186
  4. Step 4: Simplify right side
    268,470,452x = 171,559,308,890,318,592
  5. Step 5: Solve for x
    x = 171,559,308,890,318,592/268,470,452
  6. Step 6: Final answer
    x = 639,024,919.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.