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Finding the Third Proportional to 99,610 and 216,608

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Solution

The third proportional to 99,610 and 216,608 is: 471,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,610 : 216,608 = 216,608 : x
  2. Step 2: Convert to fraction form
    99,610/216,608 = 216,608/x
  3. Step 3: Cross multiply
    99,610x = 216,608 × 216,608
  4. Step 4: Simplify right side
    99,610x = 46,919,025,664
  5. Step 5: Solve for x
    x = 46,919,025,664/99,610
  6. Step 6: Final answer
    x = 471,027.26

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Why These Related Problems?

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