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Finding the Third Proportional to 44,319.66 and 102,495.38

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Solution

The third proportional to 44,319.66 and 102,495.38 is: 237,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,319.66 : 102,495.38 = 102,495.38 : x
  2. Step 2: Convert to fraction form
    44,319.66/102,495.38 = 102,495.38/x
  3. Step 3: Cross multiply
    44,319.66x = 102,495.38 × 102,495.38
  4. Step 4: Simplify right side
    44,319.66x = 10,505,301,896.39
  5. Step 5: Solve for x
    x = 10,505,301,896.39/44,319.66
  6. Step 6: Final answer
    x = 237,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.