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Finding the Third Proportional to 52,007.63 and 106,480.13

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Solution

The third proportional to 52,007.63 and 106,480.13 is: 218,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.63 : 106,480.13 = 106,480.13 : x
  2. Step 2: Convert to fraction form
    52,007.63/106,480.13 = 106,480.13/x
  3. Step 3: Cross multiply
    52,007.63x = 106,480.13 × 106,480.13
  4. Step 4: Simplify right side
    52,007.63x = 11,338,017,020.02
  5. Step 5: Solve for x
    x = 11,338,017,020.02/52,007.63
  6. Step 6: Final answer
    x = 218,006.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.