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Finding the Third Proportional to 45,871.88 and 100,485.75

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Solution

The third proportional to 45,871.88 and 100,485.75 is: 220,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871.88 : 100,485.75 = 100,485.75 : x
  2. Step 2: Convert to fraction form
    45,871.88/100,485.75 = 100,485.75/x
  3. Step 3: Cross multiply
    45,871.88x = 100,485.75 × 100,485.75
  4. Step 4: Simplify right side
    45,871.88x = 10,097,385,953.06
  5. Step 5: Solve for x
    x = 10,097,385,953.06/45,871.88
  6. Step 6: Final answer
    x = 220,121.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.