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Finding the Third Proportional to 117,694.69 and 151,117.31

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Solution

The third proportional to 117,694.69 and 151,117.31 is: 194,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,694.69 : 151,117.31 = 151,117.31 : x
  2. Step 2: Convert to fraction form
    117,694.69/151,117.31 = 151,117.31/x
  3. Step 3: Cross multiply
    117,694.69x = 151,117.31 × 151,117.31
  4. Step 4: Simplify right side
    117,694.69x = 22,836,442,137.22
  5. Step 5: Solve for x
    x = 22,836,442,137.22/117,694.69
  6. Step 6: Final answer
    x = 194,031.21

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.