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Finding the Third Proportional to 51,173,476 and 120,803,216

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Solution

The third proportional to 51,173,476 and 120,803,216 is: 285,175,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,476 : 120,803,216 = 120,803,216 : x
  2. Step 2: Convert to fraction form
    51,173,476/120,803,216 = 120,803,216/x
  3. Step 3: Cross multiply
    51,173,476x = 120,803,216 × 120,803,216
  4. Step 4: Simplify right side
    51,173,476x = 14,593,416,995,942,656
  5. Step 5: Solve for x
    x = 14,593,416,995,942,656/51,173,476
  6. Step 6: Final answer
    x = 285,175,409.93

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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.