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Finding the Third Proportional to 47,313 and 97,299

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Solution

The third proportional to 47,313 and 97,299 is: 200,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,313 : 97,299 = 97,299 : x
  2. Step 2: Convert to fraction form
    47,313/97,299 = 97,299/x
  3. Step 3: Cross multiply
    47,313x = 97,299 × 97,299
  4. Step 4: Simplify right side
    47,313x = 9,467,095,401
  5. Step 5: Solve for x
    x = 9,467,095,401/47,313
  6. Step 6: Final answer
    x = 200,095.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.