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Finding the Third Proportional to 99,987 and 216,012

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Solution

The third proportional to 99,987 and 216,012 is: 466,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,987 : 216,012 = 216,012 : x
  2. Step 2: Convert to fraction form
    99,987/216,012 = 216,012/x
  3. Step 3: Cross multiply
    99,987x = 216,012 × 216,012
  4. Step 4: Simplify right side
    99,987x = 46,661,184,144
  5. Step 5: Solve for x
    x = 46,661,184,144/99,987
  6. Step 6: Final answer
    x = 466,672.51

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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.