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Finding the Third Proportional to 195,573,408 and 414,459,840

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Solution

The third proportional to 195,573,408 and 414,459,840 is: 878,324,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,573,408 : 414,459,840 = 414,459,840 : x
  2. Step 2: Convert to fraction form
    195,573,408/414,459,840 = 414,459,840/x
  3. Step 3: Cross multiply
    195,573,408x = 414,459,840 × 414,459,840
  4. Step 4: Simplify right side
    195,573,408x = 171,776,958,972,825,600
  5. Step 5: Solve for x
    x = 171,776,958,972,825,600/195,573,408
  6. Step 6: Final answer
    x = 878,324,720.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.