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Finding the Third Proportional to 81,043.03 and 130,214.46

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Solution

The third proportional to 81,043.03 and 130,214.46 is: 209,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,043.03 : 130,214.46 = 130,214.46 : x
  2. Step 2: Convert to fraction form
    81,043.03/130,214.46 = 130,214.46/x
  3. Step 3: Cross multiply
    81,043.03x = 130,214.46 × 130,214.46
  4. Step 4: Simplify right side
    81,043.03x = 16,955,805,837.24
  5. Step 5: Solve for x
    x = 16,955,805,837.24/81,043.03
  6. Step 6: Final answer
    x = 209,219.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.