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Finding the Third Proportional to 108,899.63 and 164,991.38

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Solution

The third proportional to 108,899.63 and 164,991.38 is: 249,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,899.63 : 164,991.38 = 164,991.38 : x
  2. Step 2: Convert to fraction form
    108,899.63/164,991.38 = 164,991.38/x
  3. Step 3: Cross multiply
    108,899.63x = 164,991.38 × 164,991.38
  4. Step 4: Simplify right side
    108,899.63x = 27,222,153,824.39
  5. Step 5: Solve for x
    x = 27,222,153,824.39/108,899.63
  6. Step 6: Final answer
    x = 249,974.73

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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.