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Finding the Third Proportional to 97,808.06 and 214,296.75

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Solution

The third proportional to 97,808.06 and 214,296.75 is: 469,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,808.06 : 214,296.75 = 214,296.75 : x
  2. Step 2: Convert to fraction form
    97,808.06/214,296.75 = 214,296.75/x
  3. Step 3: Cross multiply
    97,808.06x = 214,296.75 × 214,296.75
  4. Step 4: Simplify right side
    97,808.06x = 45,923,097,060.56
  5. Step 5: Solve for x
    x = 45,923,097,060.56/97,808.06
  6. Step 6: Final answer
    x = 469,522.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.