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Finding the Third Proportional to 99,024 and 216,116

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Solution

The third proportional to 99,024 and 216,116 is: 471,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,024 : 216,116 = 216,116 : x
  2. Step 2: Convert to fraction form
    99,024/216,116 = 216,116/x
  3. Step 3: Cross multiply
    99,024x = 216,116 × 216,116
  4. Step 4: Simplify right side
    99,024x = 46,706,125,456
  5. Step 5: Solve for x
    x = 46,706,125,456/99,024
  6. Step 6: Final answer
    x = 471,664.70

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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.