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Finding the Third Proportional to 89,356.50 and 191,668.50

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Solution

The third proportional to 89,356.50 and 191,668.50 is: 411,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,356.50 : 191,668.50 = 191,668.50 : x
  2. Step 2: Convert to fraction form
    89,356.50/191,668.50 = 191,668.50/x
  3. Step 3: Cross multiply
    89,356.50x = 191,668.50 × 191,668.50
  4. Step 4: Simplify right side
    89,356.50x = 36,736,813,892.25
  5. Step 5: Solve for x
    x = 36,736,813,892.25/89,356.50
  6. Step 6: Final answer
    x = 411,126.37

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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.