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Finding the Third Proportional to 108,376,956 and 165,106,216

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Solution

The third proportional to 108,376,956 and 165,106,216 is: 251,530,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,376,956 : 165,106,216 = 165,106,216 : x
  2. Step 2: Convert to fraction form
    108,376,956/165,106,216 = 165,106,216/x
  3. Step 3: Cross multiply
    108,376,956x = 165,106,216 × 165,106,216
  4. Step 4: Simplify right side
    108,376,956x = 27,260,062,561,838,656
  5. Step 5: Solve for x
    x = 27,260,062,561,838,656/108,376,956
  6. Step 6: Final answer
    x = 251,530,062.92

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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.