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Finding the Third Proportional to 108,676.69 and 236,044.13

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Solution

The third proportional to 108,676.69 and 236,044.13 is: 512,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,676.69 : 236,044.13 = 236,044.13 : x
  2. Step 2: Convert to fraction form
    108,676.69/236,044.13 = 236,044.13/x
  3. Step 3: Cross multiply
    108,676.69x = 236,044.13 × 236,044.13
  4. Step 4: Simplify right side
    108,676.69x = 55,716,828,947.02
  5. Step 5: Solve for x
    x = 55,716,828,947.02/108,676.69
  6. Step 6: Final answer
    x = 512,684.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.