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Finding the Third Proportional to 93,469 and 202,714

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Solution

The third proportional to 93,469 and 202,714 is: 439,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,469 : 202,714 = 202,714 : x
  2. Step 2: Convert to fraction form
    93,469/202,714 = 202,714/x
  3. Step 3: Cross multiply
    93,469x = 202,714 × 202,714
  4. Step 4: Simplify right side
    93,469x = 41,092,965,796
  5. Step 5: Solve for x
    x = 41,092,965,796/93,469
  6. Step 6: Final answer
    x = 439,642.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.