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Finding the Third Proportional to 108,954 and 236,003.63

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Solution

The third proportional to 108,954 and 236,003.63 is: 511,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,954 : 236,003.63 = 236,003.63 : x
  2. Step 2: Convert to fraction form
    108,954/236,003.63 = 236,003.63/x
  3. Step 3: Cross multiply
    108,954x = 236,003.63 × 236,003.63
  4. Step 4: Simplify right side
    108,954x = 55,697,711,013.14
  5. Step 5: Solve for x
    x = 55,697,711,013.14/108,954
  6. Step 6: Final answer
    x = 511,203.91

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