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Finding the Third Proportional to 93,918 and 192,154.50

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Solution

The third proportional to 93,918 and 192,154.50 is: 393,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,918 : 192,154.50 = 192,154.50 : x
  2. Step 2: Convert to fraction form
    93,918/192,154.50 = 192,154.50/x
  3. Step 3: Cross multiply
    93,918x = 192,154.50 × 192,154.50
  4. Step 4: Simplify right side
    93,918x = 36,923,351,870.25
  5. Step 5: Solve for x
    x = 36,923,351,870.25/93,918
  6. Step 6: Final answer
    x = 393,144.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.