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Finding the Third Proportional to 93,418 and 193,484

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Solution

The third proportional to 93,418 and 193,484 is: 400,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,418 : 193,484 = 193,484 : x
  2. Step 2: Convert to fraction form
    93,418/193,484 = 193,484/x
  3. Step 3: Cross multiply
    93,418x = 193,484 × 193,484
  4. Step 4: Simplify right side
    93,418x = 37,436,058,256
  5. Step 5: Solve for x
    x = 37,436,058,256/93,418
  6. Step 6: Final answer
    x = 400,737.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.