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Finding the Third Proportional to 108,376,898 and 165,106,131

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Solution

The third proportional to 108,376,898 and 165,106,131 is: 251,529,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,376,898 : 165,106,131 = 165,106,131 : x
  2. Step 2: Convert to fraction form
    108,376,898/165,106,131 = 165,106,131/x
  3. Step 3: Cross multiply
    108,376,898x = 165,106,131 × 165,106,131
  4. Step 4: Simplify right side
    108,376,898x = 27,260,034,493,789,160
  5. Step 5: Solve for x
    x = 27,260,034,493,789,160/108,376,898
  6. Step 6: Final answer
    x = 251,529,938.55

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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.