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Finding the Third Proportional to 108,488,704.50 and 163,741,965.75

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Solution

The third proportional to 108,488,704.50 and 163,741,965.75 is: 247,135,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,704.50 : 163,741,965.75 = 163,741,965.75 : x
  2. Step 2: Convert to fraction form
    108,488,704.50/163,741,965.75 = 163,741,965.75/x
  3. Step 3: Cross multiply
    108,488,704.50x = 163,741,965.75 × 163,741,965.75
  4. Step 4: Simplify right side
    108,488,704.50x = 26,811,431,347,674,172
  5. Step 5: Solve for x
    x = 26,811,431,347,674,172/108,488,704.50
  6. Step 6: Final answer
    x = 247,135,694.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.