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Finding the Third Proportional to 49,485 and 107,851.50

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Solution

The third proportional to 49,485 and 107,851.50 is: 235,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,485 : 107,851.50 = 107,851.50 : x
  2. Step 2: Convert to fraction form
    49,485/107,851.50 = 107,851.50/x
  3. Step 3: Cross multiply
    49,485x = 107,851.50 × 107,851.50
  4. Step 4: Simplify right side
    49,485x = 11,631,946,052.25
  5. Step 5: Solve for x
    x = 11,631,946,052.25/49,485
  6. Step 6: Final answer
    x = 235,060.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.