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Finding the Third Proportional to 49,526.63 and 103,157.25

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Solution

The third proportional to 49,526.63 and 103,157.25 is: 214,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,526.63 : 103,157.25 = 103,157.25 : x
  2. Step 2: Convert to fraction form
    49,526.63/103,157.25 = 103,157.25/x
  3. Step 3: Cross multiply
    49,526.63x = 103,157.25 × 103,157.25
  4. Step 4: Simplify right side
    49,526.63x = 10,641,418,227.56
  5. Step 5: Solve for x
    x = 10,641,418,227.56/49,526.63
  6. Step 6: Final answer
    x = 214,862.58

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.