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Finding the Third Proportional to 97,802.44 and 208,523.11

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Solution

The third proportional to 97,802.44 and 208,523.11 is: 444,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802.44 : 208,523.11 = 208,523.11 : x
  2. Step 2: Convert to fraction form
    97,802.44/208,523.11 = 208,523.11/x
  3. Step 3: Cross multiply
    97,802.44x = 208,523.11 × 208,523.11
  4. Step 4: Simplify right side
    97,802.44x = 43,481,887,143.42
  5. Step 5: Solve for x
    x = 43,481,887,143.42/97,802.44
  6. Step 6: Final answer
    x = 444,588.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.