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Finding the Third Proportional to 84,456.56 and 183,515.63

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Solution

The third proportional to 84,456.56 and 183,515.63 is: 398,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,456.56 : 183,515.63 = 183,515.63 : x
  2. Step 2: Convert to fraction form
    84,456.56/183,515.63 = 183,515.63/x
  3. Step 3: Cross multiply
    84,456.56x = 183,515.63 × 183,515.63
  4. Step 4: Simplify right side
    84,456.56x = 33,677,984,619.14
  5. Step 5: Solve for x
    x = 33,677,984,619.14/84,456.56
  6. Step 6: Final answer
    x = 398,761.02

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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.