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Finding the Third Proportional to 108,376,949 and 165,106,207

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Solution

The third proportional to 108,376,949 and 165,106,207 is: 251,530,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,376,949 : 165,106,207 = 165,106,207 : x
  2. Step 2: Convert to fraction form
    108,376,949/165,106,207 = 165,106,207/x
  3. Step 3: Cross multiply
    108,376,949x = 165,106,207 × 165,106,207
  4. Step 4: Simplify right side
    108,376,949x = 27,260,059,589,926,848
  5. Step 5: Solve for x
    x = 27,260,059,589,926,848/108,376,949
  6. Step 6: Final answer
    x = 251,530,051.74

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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.