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Finding the Third Proportional to 93,514 and 200,159

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Solution

The third proportional to 93,514 and 200,159 is: 428,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,514 : 200,159 = 200,159 : x
  2. Step 2: Convert to fraction form
    93,514/200,159 = 200,159/x
  3. Step 3: Cross multiply
    93,514x = 200,159 × 200,159
  4. Step 4: Simplify right side
    93,514x = 40,063,625,281
  5. Step 5: Solve for x
    x = 40,063,625,281/93,514
  6. Step 6: Final answer
    x = 428,423.82

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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.