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Finding the Third Proportional to 51,173,473.50 and 120,803,211

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Solution

The third proportional to 51,173,473.50 and 120,803,211 is: 285,175,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,473.50 : 120,803,211 = 120,803,211 : x
  2. Step 2: Convert to fraction form
    51,173,473.50/120,803,211 = 120,803,211/x
  3. Step 3: Cross multiply
    51,173,473.50x = 120,803,211 × 120,803,211
  4. Step 4: Simplify right side
    51,173,473.50x = 14,593,415,787,910,520
  5. Step 5: Solve for x
    x = 14,593,415,787,910,520/51,173,473.50
  6. Step 6: Final answer
    x = 285,175,400.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.