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Finding the Third Proportional to 110,970 and 216,405

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Solution

The third proportional to 110,970 and 216,405 is: 422,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 216,405 = 216,405 : x
  2. Step 2: Convert to fraction form
    110,970/216,405 = 216,405/x
  3. Step 3: Cross multiply
    110,970x = 216,405 × 216,405
  4. Step 4: Simplify right side
    110,970x = 46,831,124,025
  5. Step 5: Solve for x
    x = 46,831,124,025/110,970
  6. Step 6: Final answer
    x = 422,016.08

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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.