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Finding the Third Proportional to 99,546 and 216,588

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Solution

The third proportional to 99,546 and 216,588 is: 471,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546 : 216,588 = 216,588 : x
  2. Step 2: Convert to fraction form
    99,546/216,588 = 216,588/x
  3. Step 3: Cross multiply
    99,546x = 216,588 × 216,588
  4. Step 4: Simplify right side
    99,546x = 46,910,361,744
  5. Step 5: Solve for x
    x = 46,910,361,744/99,546
  6. Step 6: Final answer
    x = 471,243.06

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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.