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Finding the Third Proportional to 97,405.88 and 208,834.88

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Solution

The third proportional to 97,405.88 and 208,834.88 is: 447,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,405.88 : 208,834.88 = 208,834.88 : x
  2. Step 2: Convert to fraction form
    97,405.88/208,834.88 = 208,834.88/x
  3. Step 3: Cross multiply
    97,405.88x = 208,834.88 × 208,834.88
  4. Step 4: Simplify right side
    97,405.88x = 43,612,005,016.27
  5. Step 5: Solve for x
    x = 43,612,005,016.27/97,405.88
  6. Step 6: Final answer
    x = 447,734.85

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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.