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Finding the Third Proportional to 108,886.50 and 163,964.25

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Solution

The third proportional to 108,886.50 and 163,964.25 is: 246,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,886.50 : 163,964.25 = 163,964.25 : x
  2. Step 2: Convert to fraction form
    108,886.50/163,964.25 = 163,964.25/x
  3. Step 3: Cross multiply
    108,886.50x = 163,964.25 × 163,964.25
  4. Step 4: Simplify right side
    108,886.50x = 26,884,275,278.06
  5. Step 5: Solve for x
    x = 26,884,275,278.06/108,886.50
  6. Step 6: Final answer
    x = 246,901.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.