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Finding the Third Proportional to 142,519,475 and 220,324,026

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Solution

The third proportional to 142,519,475 and 220,324,026 is: 340,603,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,519,475 : 220,324,026 = 220,324,026 : x
  2. Step 2: Convert to fraction form
    142,519,475/220,324,026 = 220,324,026/x
  3. Step 3: Cross multiply
    142,519,475x = 220,324,026 × 220,324,026
  4. Step 4: Simplify right side
    142,519,475x = 48,542,676,432,848,672
  5. Step 5: Solve for x
    x = 48,542,676,432,848,672/142,519,475
  6. Step 6: Final answer
    x = 340,603,811.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.