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Finding the Third Proportional to 89,329.50 and 191,614.50

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Solution

The third proportional to 89,329.50 and 191,614.50 is: 411,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,329.50 : 191,614.50 = 191,614.50 : x
  2. Step 2: Convert to fraction form
    89,329.50/191,614.50 = 191,614.50/x
  3. Step 3: Cross multiply
    89,329.50x = 191,614.50 × 191,614.50
  4. Step 4: Simplify right side
    89,329.50x = 36,716,116,610.25
  5. Step 5: Solve for x
    x = 36,716,116,610.25/89,329.50
  6. Step 6: Final answer
    x = 411,018.94

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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.