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Finding the Third Proportional to 102,161.88 and 201,703.92

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Solution

The third proportional to 102,161.88 and 201,703.92 is: 398,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.88 : 201,703.92 = 201,703.92 : x
  2. Step 2: Convert to fraction form
    102,161.88/201,703.92 = 201,703.92/x
  3. Step 3: Cross multiply
    102,161.88x = 201,703.92 × 201,703.92
  4. Step 4: Simplify right side
    102,161.88x = 40,684,472,099.76
  5. Step 5: Solve for x
    x = 40,684,472,099.76/102,161.88
  6. Step 6: Final answer
    x = 398,235.34

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.