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Finding the Third Proportional to 98,983.13 and 215,832.38

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Solution

The third proportional to 98,983.13 and 215,832.38 is: 470,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,983.13 : 215,832.38 = 215,832.38 : x
  2. Step 2: Convert to fraction form
    98,983.13/215,832.38 = 215,832.38/x
  3. Step 3: Cross multiply
    98,983.13x = 215,832.38 × 215,832.38
  4. Step 4: Simplify right side
    98,983.13x = 46,583,614,098.14
  5. Step 5: Solve for x
    x = 46,583,614,098.14/98,983.13
  6. Step 6: Final answer
    x = 470,621.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.