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Finding the Third Proportional to 100,230 and 216,012

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Solution

The third proportional to 100,230 and 216,012 is: 465,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230 : 216,012 = 216,012 : x
  2. Step 2: Convert to fraction form
    100,230/216,012 = 216,012/x
  3. Step 3: Cross multiply
    100,230x = 216,012 × 216,012
  4. Step 4: Simplify right side
    100,230x = 46,661,184,144
  5. Step 5: Solve for x
    x = 46,661,184,144/100,230
  6. Step 6: Final answer
    x = 465,541.10

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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.