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Finding the Third Proportional to 42,217 and 91,008

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Solution

The third proportional to 42,217 and 91,008 is: 196,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,217 : 91,008 = 91,008 : x
  2. Step 2: Convert to fraction form
    42,217/91,008 = 91,008/x
  3. Step 3: Cross multiply
    42,217x = 91,008 × 91,008
  4. Step 4: Simplify right side
    42,217x = 8,282,456,064
  5. Step 5: Solve for x
    x = 8,282,456,064/42,217
  6. Step 6: Final answer
    x = 196,187.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.