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Finding the Third Proportional to 92,192.81 and 142,383.52

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Solution

The third proportional to 92,192.81 and 142,383.52 is: 219,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,192.81 : 142,383.52 = 142,383.52 : x
  2. Step 2: Convert to fraction form
    92,192.81/142,383.52 = 142,383.52/x
  3. Step 3: Cross multiply
    92,192.81x = 142,383.52 × 142,383.52
  4. Step 4: Simplify right side
    92,192.81x = 20,273,065,521.73
  5. Step 5: Solve for x
    x = 20,273,065,521.73/92,192.81
  6. Step 6: Final answer
    x = 219,898.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.