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Finding the Third Proportional to 154,102,344 and 211,311,756

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Solution

The third proportional to 154,102,344 and 211,311,756 is: 289,759,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102,344 : 211,311,756 = 211,311,756 : x
  2. Step 2: Convert to fraction form
    154,102,344/211,311,756 = 211,311,756/x
  3. Step 3: Cross multiply
    154,102,344x = 211,311,756 × 211,311,756
  4. Step 4: Simplify right side
    154,102,344x = 44,652,658,223,803,536
  5. Step 5: Solve for x
    x = 44,652,658,223,803,536/154,102,344
  6. Step 6: Final answer
    x = 289,759,760.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.