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Finding the Third Proportional to 85,313.53 and 183,708.56

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Solution

The third proportional to 85,313.53 and 183,708.56 is: 395,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,313.53 : 183,708.56 = 183,708.56 : x
  2. Step 2: Convert to fraction form
    85,313.53/183,708.56 = 183,708.56/x
  3. Step 3: Cross multiply
    85,313.53x = 183,708.56 × 183,708.56
  4. Step 4: Simplify right side
    85,313.53x = 33,748,835,935.82
  5. Step 5: Solve for x
    x = 33,748,835,935.82/85,313.53
  6. Step 6: Final answer
    x = 395,585.97

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Why These Related Problems?

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