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Finding the Third Proportional to 101,985.75 and 218,722.50

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Solution

The third proportional to 101,985.75 and 218,722.50 is: 469,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,985.75 : 218,722.50 = 218,722.50 : x
  2. Step 2: Convert to fraction form
    101,985.75/218,722.50 = 218,722.50/x
  3. Step 3: Cross multiply
    101,985.75x = 218,722.50 × 218,722.50
  4. Step 4: Simplify right side
    101,985.75x = 47,839,532,006.25
  5. Step 5: Solve for x
    x = 47,839,532,006.25/101,985.75
  6. Step 6: Final answer
    x = 469,080.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.