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Finding the Third Proportional to 99,802 and 215,430

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Solution

The third proportional to 99,802 and 215,430 is: 465,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802 : 215,430 = 215,430 : x
  2. Step 2: Convert to fraction form
    99,802/215,430 = 215,430/x
  3. Step 3: Cross multiply
    99,802x = 215,430 × 215,430
  4. Step 4: Simplify right side
    99,802x = 46,410,084,900
  5. Step 5: Solve for x
    x = 46,410,084,900/99,802
  6. Step 6: Final answer
    x = 465,021.59

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