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Finding the Third Proportional to 108,931.50 and 180,016.50

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Solution

The third proportional to 108,931.50 and 180,016.50 is: 297,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,931.50 : 180,016.50 = 180,016.50 : x
  2. Step 2: Convert to fraction form
    108,931.50/180,016.50 = 180,016.50/x
  3. Step 3: Cross multiply
    108,931.50x = 180,016.50 × 180,016.50
  4. Step 4: Simplify right side
    108,931.50x = 32,405,940,272.25
  5. Step 5: Solve for x
    x = 32,405,940,272.25/108,931.50
  6. Step 6: Final answer
    x = 297,489.16

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.