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Finding the Third Proportional to 68,221.69 and 97,690.22

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Solution

The third proportional to 68,221.69 and 97,690.22 is: 139,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,221.69 : 97,690.22 = 97,690.22 : x
  2. Step 2: Convert to fraction form
    68,221.69/97,690.22 = 97,690.22/x
  3. Step 3: Cross multiply
    68,221.69x = 97,690.22 × 97,690.22
  4. Step 4: Simplify right side
    68,221.69x = 9,543,378,839.42
  5. Step 5: Solve for x
    x = 9,543,378,839.42/68,221.69
  6. Step 6: Final answer
    x = 139,887.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.