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Finding the Third Proportional to 192,764,037.50 and 293,665,748

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Solution

The third proportional to 192,764,037.50 and 293,665,748 is: 447,384,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,764,037.50 : 293,665,748 = 293,665,748 : x
  2. Step 2: Convert to fraction form
    192,764,037.50/293,665,748 = 293,665,748/x
  3. Step 3: Cross multiply
    192,764,037.50x = 293,665,748 × 293,665,748
  4. Step 4: Simplify right side
    192,764,037.50x = 86,239,571,548,399,504
  5. Step 5: Solve for x
    x = 86,239,571,548,399,504/192,764,037.50
  6. Step 6: Final answer
    x = 447,384,131.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.