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Finding the Third Proportional to 192,876.19 and 423,113.63

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Solution

The third proportional to 192,876.19 and 423,113.63 is: 928,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,876.19 : 423,113.63 = 423,113.63 : x
  2. Step 2: Convert to fraction form
    192,876.19/423,113.63 = 423,113.63/x
  3. Step 3: Cross multiply
    192,876.19x = 423,113.63 × 423,113.63
  4. Step 4: Simplify right side
    192,876.19x = 179,025,139,660.64
  5. Step 5: Solve for x
    x = 179,025,139,660.64/192,876.19
  6. Step 6: Final answer
    x = 928,186.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.