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Finding the Third Proportional to 109,273,947 and 168,131,462.50

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Solution

The third proportional to 109,273,947 and 168,131,462.50 is: 258,691,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,273,947 : 168,131,462.50 = 168,131,462.50 : x
  2. Step 2: Convert to fraction form
    109,273,947/168,131,462.50 = 168,131,462.50/x
  3. Step 3: Cross multiply
    109,273,947x = 168,131,462.50 × 168,131,462.50
  4. Step 4: Simplify right side
    109,273,947x = 28,268,188,682,388,908
  5. Step 5: Solve for x
    x = 28,268,188,682,388,908/109,273,947
  6. Step 6: Final answer
    x = 258,691,018.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.