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Finding the Third Proportional to 93,611 and 202,774

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Solution

The third proportional to 93,611 and 202,774 is: 439,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,611 : 202,774 = 202,774 : x
  2. Step 2: Convert to fraction form
    93,611/202,774 = 202,774/x
  3. Step 3: Cross multiply
    93,611x = 202,774 × 202,774
  4. Step 4: Simplify right side
    93,611x = 41,117,295,076
  5. Step 5: Solve for x
    x = 41,117,295,076/93,611
  6. Step 6: Final answer
    x = 439,235.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.