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Finding the Third Proportional to 99,562 and 214,972

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Solution

The third proportional to 99,562 and 214,972 is: 464,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,562 : 214,972 = 214,972 : x
  2. Step 2: Convert to fraction form
    99,562/214,972 = 214,972/x
  3. Step 3: Cross multiply
    99,562x = 214,972 × 214,972
  4. Step 4: Simplify right side
    99,562x = 46,212,960,784
  5. Step 5: Solve for x
    x = 46,212,960,784/99,562
  6. Step 6: Final answer
    x = 464,162.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.