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Finding the Third Proportional to 120,865,721 and 258,961,682

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Solution

The third proportional to 120,865,721 and 258,961,682 is: 554,840,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865,721 : 258,961,682 = 258,961,682 : x
  2. Step 2: Convert to fraction form
    120,865,721/258,961,682 = 258,961,682/x
  3. Step 3: Cross multiply
    120,865,721x = 258,961,682 × 258,961,682
  4. Step 4: Simplify right side
    120,865,721x = 67,061,152,744,269,120
  5. Step 5: Solve for x
    x = 67,061,152,744,269,120/120,865,721
  6. Step 6: Final answer
    x = 554,840,133.24

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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.