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Finding the Third Proportional to 93,478 and 201,932

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Solution

The third proportional to 93,478 and 201,932 is: 436,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,478 : 201,932 = 201,932 : x
  2. Step 2: Convert to fraction form
    93,478/201,932 = 201,932/x
  3. Step 3: Cross multiply
    93,478x = 201,932 × 201,932
  4. Step 4: Simplify right side
    93,478x = 40,776,532,624
  5. Step 5: Solve for x
    x = 40,776,532,624/93,478
  6. Step 6: Final answer
    x = 436,215.29

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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.