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Finding the Third Proportional to 53,799.19 and 106,221.38

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Solution

The third proportional to 53,799.19 and 106,221.38 is: 209,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,799.19 : 106,221.38 = 106,221.38 : x
  2. Step 2: Convert to fraction form
    53,799.19/106,221.38 = 106,221.38/x
  3. Step 3: Cross multiply
    53,799.19x = 106,221.38 × 106,221.38
  4. Step 4: Simplify right side
    53,799.19x = 11,282,980,506.89
  5. Step 5: Solve for x
    x = 11,282,980,506.89/53,799.19
  6. Step 6: Final answer
    x = 209,723.99

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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.