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Finding the Third Proportional to 108,837.84 and 164,899.97

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Solution

The third proportional to 108,837.84 and 164,899.97 is: 249,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837.84 : 164,899.97 = 164,899.97 : x
  2. Step 2: Convert to fraction form
    108,837.84/164,899.97 = 164,899.97/x
  3. Step 3: Cross multiply
    108,837.84x = 164,899.97 × 164,899.97
  4. Step 4: Simplify right side
    108,837.84x = 27,191,999,693.75
  5. Step 5: Solve for x
    x = 27,191,999,693.75/108,837.84
  6. Step 6: Final answer
    x = 249,839.57

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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.