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Finding the Third Proportional to 101,101.50 and 216,101.25

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Solution

The third proportional to 101,101.50 and 216,101.25 is: 461,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.50 : 216,101.25 = 216,101.25 : x
  2. Step 2: Convert to fraction form
    101,101.50/216,101.25 = 216,101.25/x
  3. Step 3: Cross multiply
    101,101.50x = 216,101.25 × 216,101.25
  4. Step 4: Simplify right side
    101,101.50x = 46,699,750,251.56
  5. Step 5: Solve for x
    x = 46,699,750,251.56/101,101.50
  6. Step 6: Final answer
    x = 461,909.57

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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.