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Finding the Third Proportional to 93,468 and 200,058

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Solution

The third proportional to 93,468 and 200,058 is: 428,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,468 : 200,058 = 200,058 : x
  2. Step 2: Convert to fraction form
    93,468/200,058 = 200,058/x
  3. Step 3: Cross multiply
    93,468x = 200,058 × 200,058
  4. Step 4: Simplify right side
    93,468x = 40,023,203,364
  5. Step 5: Solve for x
    x = 40,023,203,364/93,468
  6. Step 6: Final answer
    x = 428,202.20

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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.