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Finding the Third Proportional to 99,767 and 216,990

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Solution

The third proportional to 99,767 and 216,990 is: 471,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,767 : 216,990 = 216,990 : x
  2. Step 2: Convert to fraction form
    99,767/216,990 = 216,990/x
  3. Step 3: Cross multiply
    99,767x = 216,990 × 216,990
  4. Step 4: Simplify right side
    99,767x = 47,084,660,100
  5. Step 5: Solve for x
    x = 47,084,660,100/99,767
  6. Step 6: Final answer
    x = 471,946.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.