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Finding the Third Proportional to 108,311,268 and 171,645,297

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Solution

The third proportional to 108,311,268 and 171,645,297 is: 272,013,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,311,268 : 171,645,297 = 171,645,297 : x
  2. Step 2: Convert to fraction form
    108,311,268/171,645,297 = 171,645,297/x
  3. Step 3: Cross multiply
    108,311,268x = 171,645,297 × 171,645,297
  4. Step 4: Simplify right side
    108,311,268x = 29,462,107,982,218,208
  5. Step 5: Solve for x
    x = 29,462,107,982,218,208/108,311,268
  6. Step 6: Final answer
    x = 272,013,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.