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Finding the Third Proportional to 135,836,778 and 211,826,434

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Solution

The third proportional to 135,836,778 and 211,826,434 is: 330,326,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,836,778 : 211,826,434 = 211,826,434 : x
  2. Step 2: Convert to fraction form
    135,836,778/211,826,434 = 211,826,434/x
  3. Step 3: Cross multiply
    135,836,778x = 211,826,434 × 211,826,434
  4. Step 4: Simplify right side
    135,836,778x = 44,870,438,141,156,352
  5. Step 5: Solve for x
    x = 44,870,438,141,156,352/135,836,778
  6. Step 6: Final answer
    x = 330,326,137.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.