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Finding the Third Proportional to 96,808.13 and 208,447.13

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Solution

The third proportional to 96,808.13 and 208,447.13 is: 448,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,808.13 : 208,447.13 = 208,447.13 : x
  2. Step 2: Convert to fraction form
    96,808.13/208,447.13 = 208,447.13/x
  3. Step 3: Cross multiply
    96,808.13x = 208,447.13 × 208,447.13
  4. Step 4: Simplify right side
    96,808.13x = 43,450,203,920.77
  5. Step 5: Solve for x
    x = 43,450,203,920.77/96,808.13
  6. Step 6: Final answer
    x = 448,828.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.