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Finding the Third Proportional to 117,350.44 and 159,409.69

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Solution

The third proportional to 117,350.44 and 159,409.69 is: 216,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,350.44 : 159,409.69 = 159,409.69 : x
  2. Step 2: Convert to fraction form
    117,350.44/159,409.69 = 159,409.69/x
  3. Step 3: Cross multiply
    117,350.44x = 159,409.69 × 159,409.69
  4. Step 4: Simplify right side
    117,350.44x = 25,411,448,468.85
  5. Step 5: Solve for x
    x = 25,411,448,468.85/117,350.44
  6. Step 6: Final answer
    x = 216,543.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.