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Finding the Third Proportional to 99,808 and 150,746

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Solution

The third proportional to 99,808 and 150,746 is: 227,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808 : 150,746 = 150,746 : x
  2. Step 2: Convert to fraction form
    99,808/150,746 = 150,746/x
  3. Step 3: Cross multiply
    99,808x = 150,746 × 150,746
  4. Step 4: Simplify right side
    99,808x = 22,724,356,516
  5. Step 5: Solve for x
    x = 22,724,356,516/99,808
  6. Step 6: Final answer
    x = 227,680.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.