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Finding the Third Proportional to 93,953 and 202,684

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Solution

The third proportional to 93,953 and 202,684 is: 437,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,953 : 202,684 = 202,684 : x
  2. Step 2: Convert to fraction form
    93,953/202,684 = 202,684/x
  3. Step 3: Cross multiply
    93,953x = 202,684 × 202,684
  4. Step 4: Simplify right side
    93,953x = 41,080,803,856
  5. Step 5: Solve for x
    x = 41,080,803,856/93,953
  6. Step 6: Final answer
    x = 437,248.45

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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.