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Finding the Third Proportional to 93,624 and 200,370

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Solution

The third proportional to 93,624 and 200,370 is: 428,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,624 : 200,370 = 200,370 : x
  2. Step 2: Convert to fraction form
    93,624/200,370 = 200,370/x
  3. Step 3: Cross multiply
    93,624x = 200,370 × 200,370
  4. Step 4: Simplify right side
    93,624x = 40,148,136,900
  5. Step 5: Solve for x
    x = 40,148,136,900/93,624
  6. Step 6: Final answer
    x = 428,823.13

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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.