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Finding the Third Proportional to 93,721 and 202,205

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Solution

The third proportional to 93,721 and 202,205 is: 436,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,721 : 202,205 = 202,205 : x
  2. Step 2: Convert to fraction form
    93,721/202,205 = 202,205/x
  3. Step 3: Cross multiply
    93,721x = 202,205 × 202,205
  4. Step 4: Simplify right side
    93,721x = 40,886,862,025
  5. Step 5: Solve for x
    x = 40,886,862,025/93,721
  6. Step 6: Final answer
    x = 436,261.48

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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.