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Finding the Third Proportional to 93,533 and 193,719

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Solution

The third proportional to 93,533 and 193,719 is: 401,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,533 : 193,719 = 193,719 : x
  2. Step 2: Convert to fraction form
    93,533/193,719 = 193,719/x
  3. Step 3: Cross multiply
    93,533x = 193,719 × 193,719
  4. Step 4: Simplify right side
    93,533x = 37,527,050,961
  5. Step 5: Solve for x
    x = 37,527,050,961/93,533
  6. Step 6: Final answer
    x = 401,217.23

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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.