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Finding the Third Proportional to 108,413,026 and 165,160,398

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Solution

The third proportional to 108,413,026 and 165,160,398 is: 251,611,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,413,026 : 165,160,398 = 165,160,398 : x
  2. Step 2: Convert to fraction form
    108,413,026/165,160,398 = 165,160,398/x
  3. Step 3: Cross multiply
    108,413,026x = 165,160,398 × 165,160,398
  4. Step 4: Simplify right side
    108,413,026x = 27,277,957,067,518,404
  5. Step 5: Solve for x
    x = 27,277,957,067,518,404/108,413,026
  6. Step 6: Final answer
    x = 251,611,435.21

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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.