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Finding the Third Proportional to 99,904 and 214,058

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Solution

The third proportional to 99,904 and 214,058 is: 458,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904 : 214,058 = 214,058 : x
  2. Step 2: Convert to fraction form
    99,904/214,058 = 214,058/x
  3. Step 3: Cross multiply
    99,904x = 214,058 × 214,058
  4. Step 4: Simplify right side
    99,904x = 45,820,827,364
  5. Step 5: Solve for x
    x = 45,820,827,364/99,904
  6. Step 6: Final answer
    x = 458,648.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.