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Finding the Third Proportional to 93,694 and 202,360

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Solution

The third proportional to 93,694 and 202,360 is: 437,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,694 : 202,360 = 202,360 : x
  2. Step 2: Convert to fraction form
    93,694/202,360 = 202,360/x
  3. Step 3: Cross multiply
    93,694x = 202,360 × 202,360
  4. Step 4: Simplify right side
    93,694x = 40,949,569,600
  5. Step 5: Solve for x
    x = 40,949,569,600/93,694
  6. Step 6: Final answer
    x = 437,056.48

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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.