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Finding the Third Proportional to 99,262 and 216,020

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Solution

The third proportional to 99,262 and 216,020 is: 470,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,262 : 216,020 = 216,020 : x
  2. Step 2: Convert to fraction form
    99,262/216,020 = 216,020/x
  3. Step 3: Cross multiply
    99,262x = 216,020 × 216,020
  4. Step 4: Simplify right side
    99,262x = 46,664,640,400
  5. Step 5: Solve for x
    x = 46,664,640,400/99,262
  6. Step 6: Final answer
    x = 470,115.86

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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.