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Finding the Third Proportional to 40,983.47 and 88,254.56

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Solution

The third proportional to 40,983.47 and 88,254.56 is: 190,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983.47 : 88,254.56 = 88,254.56 : x
  2. Step 2: Convert to fraction form
    40,983.47/88,254.56 = 88,254.56/x
  3. Step 3: Cross multiply
    40,983.47x = 88,254.56 × 88,254.56
  4. Step 4: Simplify right side
    40,983.47x = 7,788,867,802.07
  5. Step 5: Solve for x
    x = 7,788,867,802.07/40,983.47
  6. Step 6: Final answer
    x = 190,049.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.