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Finding the Third Proportional to 93,621 and 200,364

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Solution

The third proportional to 93,621 and 200,364 is: 428,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,621 : 200,364 = 200,364 : x
  2. Step 2: Convert to fraction form
    93,621/200,364 = 200,364/x
  3. Step 3: Cross multiply
    93,621x = 200,364 × 200,364
  4. Step 4: Simplify right side
    93,621x = 40,145,732,496
  5. Step 5: Solve for x
    x = 40,145,732,496/93,621
  6. Step 6: Final answer
    x = 428,811.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.