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Finding the Third Proportional to 93,232 and 203,018

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Solution

The third proportional to 93,232 and 203,018 is: 442,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,232 : 203,018 = 203,018 : x
  2. Step 2: Convert to fraction form
    93,232/203,018 = 203,018/x
  3. Step 3: Cross multiply
    93,232x = 203,018 × 203,018
  4. Step 4: Simplify right side
    93,232x = 41,216,308,324
  5. Step 5: Solve for x
    x = 41,216,308,324/93,232
  6. Step 6: Final answer
    x = 442,083.28

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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.