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Finding the Third Proportional to 99,028 and 216,202

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Solution

The third proportional to 99,028 and 216,202 is: 472,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,028 : 216,202 = 216,202 : x
  2. Step 2: Convert to fraction form
    99,028/216,202 = 216,202/x
  3. Step 3: Cross multiply
    99,028x = 216,202 × 216,202
  4. Step 4: Simplify right side
    99,028x = 46,743,304,804
  5. Step 5: Solve for x
    x = 46,743,304,804/99,028
  6. Step 6: Final answer
    x = 472,021.09

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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.