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Finding the Third Proportional to 93,752.16 and 202,163.91

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Solution

The third proportional to 93,752.16 and 202,163.91 is: 435,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,752.16 : 202,163.91 = 202,163.91 : x
  2. Step 2: Convert to fraction form
    93,752.16/202,163.91 = 202,163.91/x
  3. Step 3: Cross multiply
    93,752.16x = 202,163.91 × 202,163.91
  4. Step 4: Simplify right side
    93,752.16x = 40,870,244,990.26
  5. Step 5: Solve for x
    x = 40,870,244,990.26/93,752.16
  6. Step 6: Final answer
    x = 435,939.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.