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Finding the Third Proportional to 44,623.50 and 93,850.50

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Solution

The third proportional to 44,623.50 and 93,850.50 is: 197,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623.50 : 93,850.50 = 93,850.50 : x
  2. Step 2: Convert to fraction form
    44,623.50/93,850.50 = 93,850.50/x
  3. Step 3: Cross multiply
    44,623.50x = 93,850.50 × 93,850.50
  4. Step 4: Simplify right side
    44,623.50x = 8,807,916,350.25
  5. Step 5: Solve for x
    x = 8,807,916,350.25/44,623.50
  6. Step 6: Final answer
    x = 197,382.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.