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Finding the Third Proportional to 110,817.75 and 216,097.13

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Solution

The third proportional to 110,817.75 and 216,097.13 is: 421,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,817.75 : 216,097.13 = 216,097.13 : x
  2. Step 2: Convert to fraction form
    110,817.75/216,097.13 = 216,097.13/x
  3. Step 3: Cross multiply
    110,817.75x = 216,097.13 × 216,097.13
  4. Step 4: Simplify right side
    110,817.75x = 46,697,967,433.27
  5. Step 5: Solve for x
    x = 46,697,967,433.27/110,817.75
  6. Step 6: Final answer
    x = 421,394.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.