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Finding the Third Proportional to 99,918 and 216,666

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Solution

The third proportional to 99,918 and 216,666 is: 469,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918 : 216,666 = 216,666 : x
  2. Step 2: Convert to fraction form
    99,918/216,666 = 216,666/x
  3. Step 3: Cross multiply
    99,918x = 216,666 × 216,666
  4. Step 4: Simplify right side
    99,918x = 46,944,155,556
  5. Step 5: Solve for x
    x = 46,944,155,556/99,918
  6. Step 6: Final answer
    x = 469,826.81

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