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Finding the Third Proportional to 100,219.13 and 216,103.13

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Solution

The third proportional to 100,219.13 and 216,103.13 is: 465,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.13 : 216,103.13 = 216,103.13 : x
  2. Step 2: Convert to fraction form
    100,219.13/216,103.13 = 216,103.13/x
  3. Step 3: Cross multiply
    100,219.13x = 216,103.13 × 216,103.13
  4. Step 4: Simplify right side
    100,219.13x = 46,700,560,634.77
  5. Step 5: Solve for x
    x = 46,700,560,634.77/100,219.13
  6. Step 6: Final answer
    x = 465,984.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.