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Finding the Third Proportional to 122,851.69 and 190,838.53

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Solution

The third proportional to 122,851.69 and 190,838.53 is: 296,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851.69 : 190,838.53 = 190,838.53 : x
  2. Step 2: Convert to fraction form
    122,851.69/190,838.53 = 190,838.53/x
  3. Step 3: Cross multiply
    122,851.69x = 190,838.53 × 190,838.53
  4. Step 4: Simplify right side
    122,851.69x = 36,419,345,009.66
  5. Step 5: Solve for x
    x = 36,419,345,009.66/122,851.69
  6. Step 6: Final answer
    x = 296,449.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.