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Finding the Third Proportional to 96,718 and 202,184

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Solution

The third proportional to 96,718 and 202,184 is: 422,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,718 : 202,184 = 202,184 : x
  2. Step 2: Convert to fraction form
    96,718/202,184 = 202,184/x
  3. Step 3: Cross multiply
    96,718x = 202,184 × 202,184
  4. Step 4: Simplify right side
    96,718x = 40,878,369,856
  5. Step 5: Solve for x
    x = 40,878,369,856/96,718
  6. Step 6: Final answer
    x = 422,655.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.