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Finding the Third Proportional to 99,336 and 216,192

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Solution

The third proportional to 99,336 and 216,192 is: 470,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,336 : 216,192 = 216,192 : x
  2. Step 2: Convert to fraction form
    99,336/216,192 = 216,192/x
  3. Step 3: Cross multiply
    99,336x = 216,192 × 216,192
  4. Step 4: Simplify right side
    99,336x = 46,738,980,864
  5. Step 5: Solve for x
    x = 46,738,980,864/99,336
  6. Step 6: Final answer
    x = 470,514.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.