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Finding the Third Proportional to 40,834.13 and 98,318.81

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Solution

The third proportional to 40,834.13 and 98,318.81 is: 236,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,834.13 : 98,318.81 = 98,318.81 : x
  2. Step 2: Convert to fraction form
    40,834.13/98,318.81 = 98,318.81/x
  3. Step 3: Cross multiply
    40,834.13x = 98,318.81 × 98,318.81
  4. Step 4: Simplify right side
    40,834.13x = 9,666,588,891.41
  5. Step 5: Solve for x
    x = 9,666,588,891.41/40,834.13
  6. Step 6: Final answer
    x = 236,728.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.