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Finding the Third Proportional to 108,434,322 and 165,192,750

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Solution

The third proportional to 108,434,322 and 165,192,750 is: 251,660,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,434,322 : 165,192,750 = 165,192,750 : x
  2. Step 2: Convert to fraction form
    108,434,322/165,192,750 = 165,192,750/x
  3. Step 3: Cross multiply
    108,434,322x = 165,192,750 × 165,192,750
  4. Step 4: Simplify right side
    108,434,322x = 27,288,644,652,562,500
  5. Step 5: Solve for x
    x = 27,288,644,652,562,500/108,434,322
  6. Step 6: Final answer
    x = 251,660,582.64

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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.