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Finding the Third Proportional to 51,080,778 and 113,498,964

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Solution

The third proportional to 51,080,778 and 113,498,964 is: 252,189,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080,778 : 113,498,964 = 113,498,964 : x
  2. Step 2: Convert to fraction form
    51,080,778/113,498,964 = 113,498,964/x
  3. Step 3: Cross multiply
    51,080,778x = 113,498,964 × 113,498,964
  4. Step 4: Simplify right side
    51,080,778x = 12,882,014,829,073,296
  5. Step 5: Solve for x
    x = 12,882,014,829,073,296/51,080,778
  6. Step 6: Final answer
    x = 252,189,088.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.