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Finding the Third Proportional to 46,383 and 99,909

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Solution

The third proportional to 46,383 and 99,909 is: 215,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383 : 99,909 = 99,909 : x
  2. Step 2: Convert to fraction form
    46,383/99,909 = 99,909/x
  3. Step 3: Cross multiply
    46,383x = 99,909 × 99,909
  4. Step 4: Simplify right side
    46,383x = 9,981,808,281
  5. Step 5: Solve for x
    x = 9,981,808,281/46,383
  6. Step 6: Final answer
    x = 215,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.