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Finding the Third Proportional to 93,647 and 202,261

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Solution

The third proportional to 93,647 and 202,261 is: 436,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,647 : 202,261 = 202,261 : x
  2. Step 2: Convert to fraction form
    93,647/202,261 = 202,261/x
  3. Step 3: Cross multiply
    93,647x = 202,261 × 202,261
  4. Step 4: Simplify right side
    93,647x = 40,909,512,121
  5. Step 5: Solve for x
    x = 40,909,512,121/93,647
  6. Step 6: Final answer
    x = 436,848.08

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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.