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Finding the Third Proportional to 93,785 and 202,232

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Solution

The third proportional to 93,785 and 202,232 is: 436,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,785 : 202,232 = 202,232 : x
  2. Step 2: Convert to fraction form
    93,785/202,232 = 202,232/x
  3. Step 3: Cross multiply
    93,785x = 202,232 × 202,232
  4. Step 4: Simplify right side
    93,785x = 40,897,781,824
  5. Step 5: Solve for x
    x = 40,897,781,824/93,785
  6. Step 6: Final answer
    x = 436,080.20

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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.