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Finding the Third Proportional to 49,871.63 and 108,220.13

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Solution

The third proportional to 49,871.63 and 108,220.13 is: 234,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.63 : 108,220.13 = 108,220.13 : x
  2. Step 2: Convert to fraction form
    49,871.63/108,220.13 = 108,220.13/x
  3. Step 3: Cross multiply
    49,871.63x = 108,220.13 × 108,220.13
  4. Step 4: Simplify right side
    49,871.63x = 11,711,595,455.02
  5. Step 5: Solve for x
    x = 11,711,595,455.02/49,871.63
  6. Step 6: Final answer
    x = 234,834.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.