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Finding the Third Proportional to 122,844.09 and 190,827.14

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Solution

The third proportional to 122,844.09 and 190,827.14 is: 296,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,844.09 : 190,827.14 = 190,827.14 : x
  2. Step 2: Convert to fraction form
    122,844.09/190,827.14 = 190,827.14/x
  3. Step 3: Cross multiply
    122,844.09x = 190,827.14 × 190,827.14
  4. Step 4: Simplify right side
    122,844.09x = 36,414,997,599.11
  5. Step 5: Solve for x
    x = 36,414,997,599.11/122,844.09
  6. Step 6: Final answer
    x = 296,432.63

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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.