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Finding the Third Proportional to 93,891 and 202,527

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Solution

The third proportional to 93,891 and 202,527 is: 436,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,891 : 202,527 = 202,527 : x
  2. Step 2: Convert to fraction form
    93,891/202,527 = 202,527/x
  3. Step 3: Cross multiply
    93,891x = 202,527 × 202,527
  4. Step 4: Simplify right side
    93,891x = 41,017,185,729
  5. Step 5: Solve for x
    x = 41,017,185,729/93,891
  6. Step 6: Final answer
    x = 436,859.61

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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.