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Finding the Third Proportional to 88,269.50 and 208,202

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Solution

The third proportional to 88,269.50 and 208,202 is: 491,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,269.50 : 208,202 = 208,202 : x
  2. Step 2: Convert to fraction form
    88,269.50/208,202 = 208,202/x
  3. Step 3: Cross multiply
    88,269.50x = 208,202 × 208,202
  4. Step 4: Simplify right side
    88,269.50x = 43,348,072,804
  5. Step 5: Solve for x
    x = 43,348,072,804/88,269.50
  6. Step 6: Final answer
    x = 491,087.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.